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1.


    Li, Fanbiao.
    Control and Filtering for Semi-Markovian Jump Systems [Electronic resource] / Fanbiao. Li, Shi, Peng., Wu, Ligang. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 199 p. 39 illus., 34 illus. in color. - ISBN 9783319471990
    Зміст:
Рубрики: Control engineering.
   System theory.
   Control and Systems Theory.
   Systems Theory, Control.
Анотація: This book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.
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Shi, Peng.; Wu, Ligang.; Li, Fanbiao. \.\
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2.


   
    Network Games, Control, and Optimization [Electronic resource] : proceedings of NETGCOOP 2016, Avignon, France / / ed.: Lasaulce, Samson., Jimenez, Tania., Solan, Eilon. - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 234 p. 49 illus., 38 illus. in color. - ISBN 9783319510347
    Зміст:
Рубрики: Game theory.
   System theory.
   Computer science—Mathematics.
   Computer mathematics.
   Applied mathematics.
   Engineering mathematics.
   Game Theory, Economics, Social and Behav. Sciences.
   Systems Theory, Control.
   Mathematical Applications in Computer Science.
   Math Applications in Computer Science.
   Mathematical and Computational Engineering.
Анотація: This contributed volume offers a collection of papers presented at the 2016 Network Games, Control, and Optimization conference (NETGCOOP), held at the University of Avignon in France, November 23-25, 2016. These papers highlight the increasing importance of network control and optimization in many networking application domains, such as mobile and fixed access networks, computer networks, social networks, transportation networks, and, more recently, electricity grids and biological networks. Covering a wide variety of both theoretical and applied topics in the areas listed above, the authors explore several conceptual and algorithmic tools that are needed for efficient and robust control operation, performance optimization, and better understanding the relationships between entities that may be acting cooperatively or selfishly in uncertain and possibly adversarial environments. As such, this volume will be of interest to applied mathematicians, computer scientists, engineers, and researchers in other related fields.
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Lasaulce, Samson. \ed.\; Jimenez, Tania. \ed.\; Solan, Eilon. \ed.\
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3.


    Lin, Hong.
    Estimation and Control for Networked Systems with Packet Losses without Acknowledgement [Electronic resource] / Hong. Lin, Su, Hongye. [et al.] ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIII, 188 p. 39 illus., 27 illus. in color. - ISBN 9783319442129
    Зміст:
Рубрики: Control engineering.
   System theory.
   Signal processing.
   Image processing.
   Speech processing systems.
   Calculus of variations.
   Control and Systems Theory.
   Systems Theory, Control.
   Signal, Image and Speech Processing.
   Calculus of Variations and Optimal Control; Optimization.
Анотація: This book discusses recent advances in the estimation and control of networked systems with unacknowledged packet losses: systems usually known as user-datagram-protocol-like. It presents both the optimal and sub-optimal solutions in the form of algorithms, which are designed to be implemented easily by computer routines. It also provides MATLAB® routines for the key algorithms. It shows how these methods and algorithms can solve estimation and control problems effectively, and identifies potential research directions and ideas to help readers grasp the field more easily. The novel auxiliary estimator method, which is able to deal with estimators that consist of exponentially increasing terms, is developed to analyze the stability and convergence of the optimal estimator. The book also explores the structure and solvability of the optimal control, i.e. linear quadratic Gaussian control. It develops various sub-optimal but efficient solutions for estimation and control for industrial and practical applications, and analyzes their stability and performance. This is a valuable resource for researchers studying networked control systems, especially those related to non-TCP-like networks. The practicality of the ideas included makes it useful for engineers working with networked control. .
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Su, Hongye.; Shi, Peng.; Shu, Zhan.; Wu, Zheng-Guang.; Lin, Hong. \.\
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4.


   
    Fractional Order Control and Synchronization of Chaotic Systems [Electronic resource] / ed.: Azar, Ahmad Taher., Vaidyanathan, Sundarapandian., Ouannas, Adel. - 1st ed. 2017. - [S. l. : s. n.]. - XII, 877 p. 468 illus., 175 illus. in color. - ISBN 9783319502496
    Зміст:
Рубрики: Computational intelligence.
   Control engineering.
   Electrical engineering.
   System theory.
   Computational Intelligence.
   Control and Systems Theory.
   Communications Engineering, Networks.
   Systems Theory, Control.
Анотація: The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.
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Azar, Ahmad Taher. \ed.\; Vaidyanathan, Sundarapandian. \ed.\; Ouannas, Adel. \ed.\
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5.


   
    Surveys in Differential-Algebraic Equations IV [Electronic resource] / ed.: Ilchmann, Achim., Reis, Timo. - 1st ed. 2017. - [S. l. : s. n.]. - IX, 305 p. 58 illus., 15 illus. in color. - ISBN 9783319466187
    Зміст:
Рубрики: Differential equations.
   Numerical analysis.
   System theory.
   Ordinary Differential Equations.
   Numerical Analysis.
   Systems Theory, Control.
Анотація: The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - History of DAEs - DAE aspects of mechanical multibody systems - Model reduction of DAEs - Observability for DAEs - Numerical Analysis for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
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Ilchmann, Achim. \ed.\; Reis, Timo. \ed.\
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6.


    Fabbri, Giorgio.
    Stochastic Optimal Control in Infinite Dimension [Electronic resource] : dynamic Programming and HJB Equations / / Giorgio. Fabbri, Gozzi, Fausto., Święch, Andrzej. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XXIV, 916 p. - ISBN 9783319530673
    Зміст:
Рубрики: Calculus of variations.
   Probabilities.
   Partial differential equations.
   System theory.
   Functional analysis.
   Calculus of Variations and Optimal Control; Optimization.
   Probability Theory and Stochastic Processes.
   Partial Differential Equations.
   Systems Theory, Control.
   Functional Analysis.
Анотація: Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.
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Gozzi, Fausto.; Święch, Andrzej.; Fabbri, Giorgio. \.\
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7.


    Locatelli, Arturo.
    Optimal Control of a Double Integrator [Electronic resource] : a Primer on Maximum Principle / / Arturo. Locatelli ; . - 1st ed. 2017. - [S. l. : s. n.]. - X, 311 p. 117 illus., 46 illus. in color. - ISBN 9783319421261
    Зміст:
Рубрики: Control engineering.
   System theory.
   Calculus of variations.
   Control and Systems Theory.
   Systems Theory, Control.
   Calculus of Variations and Optimal Control; Optimization.
Анотація: This book provides an introductory yet rigorous treatment of Pontryagin’s Maximum Principle and its application to optimal control problems when simple and complex constraints act on state and control variables, the two classes of variable in such problems. The achievements resulting from first-order variational methods are illustrated with reference to a large number of problems that, almost universally, relate to a particular second-order, linear and time-invariant dynamical system, referred to as the double integrator. The book is ideal for students who have some knowledge of the basics of system and control theory and possess the calculus background typically taught in undergraduate curricula in engineering. Optimal control theory, of which the Maximum Principle must be considered a cornerstone, has been very popular ever since the late 1950s. However, the possibly excessive initial enthusiasm engendered by its perceived capability to solve any kind of problem gave way to its equally unjustified rejection when it came to be considered as a purely abstract concept with no real utility. In recent years it has been recognized that the truth lies somewhere between these two extremes, and optimal control has found its (appropriate yet limited) place within any curriculum in which system and control theory plays a significant role.
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Locatelli, Arturo. \.\
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8.


   
    Active Particles, Volume 1 [Electronic resource] : advances in Theory, Models, and Applications / / ed.: Bellomo, Nicola., Degond, Pierre., Tadmor, Eitan. - 1st ed. 2017. - [S. l. : s. n.]. - X, 402 p. 100 illus., 94 illus. in color. - ISBN 9783319499963
    Зміст:
Рубрики: Mathematical models.
   System theory.
   Statistical physics.
   Dynamical systems.
   Mathematical Modeling and Industrial Mathematics.
   Complex Systems.
   Complex Systems.
   Statistical Physics and Dynamical Systems.
   Systems Theory, Control.
Анотація: This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
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Bellomo, Nicola. \ed.\; Degond, Pierre. \ed.\; Tadmor, Eitan. \ed.\
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9.


   
    CONTROLO 2016 [Electronic resource] : proceedings of the 12th Portuguese Conference on Automatic Control / / ed.: Garrido, Paulo., Soares, Filomena., Moreira, António Paulo. - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 889 p. 457 illus., 351 illus. in color. - ISBN 9783319436715
    Зміст:
Рубрики: Control engineering.
   Robotics.
   Automation.
   System theory.
   Control and Systems Theory.
   Robotics and Automation.
   Systems Theory, Control.
Анотація: The biennial CONTROLO conferences are the main events promoted by The CONTROLO 2016 – 12th Portuguese Conference on Automatic Control, Guimarães, Portugal, September 14th to 16th, was organized by Algoritmi, School of Engineering, University of Minho, in partnership with INESC TEC, and promoted by the Portuguese Association for Automatic Control – APCA, national member organization of the International Federation of Automatic Control – IFAC. The seventy-five papers published in this volume cover a wide range of topics. Thirty-one of them, of a more theoretical nature, are distributed among the first five parts: Control Theory; Optimal and Predictive Control; Fuzzy, Neural and Genetic Control; Modeling and Identification; Sensing and Estimation. The papers go from cutting-edge theoretical research to innovative control applications and show expressively how Automatic Control can be used to increase the well being of people. .
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Garrido, Paulo. \ed.\; Soares, Filomena. \ed.\; Moreira, António Paulo. \ed.\
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10.


    Yan, Xing-Gang.
    Variable Structure Control of Complex Systems [Electronic resource] : analysis and Design / / Xing-Gang. Yan, Spurgeon, Sarah K., Edwards, Christopher. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XXII, 350 p. 41 illus., 23 illus. in color. - ISBN 9783319489629
    Зміст:
Рубрики: Control engineering.
   System theory.
   Aerospace engineering.
   Astronautics.
   Electrical engineering.
   Energy systems.
   Control and Systems Theory.
   Systems Theory, Control.
   Aerospace Technology and Astronautics.
   Communications Engineering, Networks.
   Energy Systems.
Анотація: This book systematizes recent research work on variable-structure control. It is self-contained, presenting necessary mathematical preliminaries so that the theoretical developments can be easily understood by a broad readership. The text begins with an introduction to the fundamental ideas of variable-structure control pertinent to their application in complex nonlinear systems. In the core of the book, the authors lay out an approach, suitable for a large class of systems, that deals with system uncertainties with nonlinear bounds. Its treatment of complex systems in which limited measurement information is available makes the results developed convenient to implement. Various case-study applications are described, from aerospace, through power systems to river pollution control with supporting simulations to aid the transition from mathematical theory to engineering practicalities. The book addresses systems with nonlinearities, time delays and interconnections and considers issues such as stabilization, observer design, and fault detection and isolation. It makes extensive use of numerical and practical examples to render its ideas more readily absorbed. Variable-Structure Control of Complex Systems will be of interest to academic researchers studying control theory and its application in nonlinear, time-delayed an modular large-scale systems; the robustness of its approach will also be attractive to control engineers working in industries associate with aerospace, electrical and mechanical engineering.
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Spurgeon, Sarah K.; Edwards, Christopher.; Yan, Xing-Gang. \.\
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11.


    Shen, Qikun.
    Fault Diagnosis and Fault-Tolerant Control Based on Adaptive Control Approach [Electronic resource] / Qikun. Shen, Jiang, Bin., Shi, Peng. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 239 p. 60 illus., 57 illus. in color. - ISBN 9783319525303
    Зміст:
Рубрики: Control engineering.
   Applied mathematics.
   Engineering mathematics.
   System theory.
   Control and Systems Theory.
   Mathematical and Computational Engineering.
   Systems Theory, Control.
Анотація: This book provides recent theoretical developments in and practical applications of fault diagnosis and fault tolerant control for complex dynamical systems, including uncertain systems, linear and nonlinear systems. Combining adaptive control technique with other control methodologies, it investigates the problems of fault diagnosis and fault tolerant control for uncertain dynamic systems with or without time delay. As such, the book provides readers a solid understanding of fault diagnosis and fault tolerant control based on adaptive control technology. Given its depth and breadth, it is well suited for undergraduate and graduate courses on linear system theory, nonlinear system theory, fault diagnosis and fault tolerant control techniques. Further, it can be used as a reference source for academic research on fault diagnosis and fault tolerant control, and for postgraduates in the field of control theory and engineering. .
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Jiang, Bin.; Shi, Peng.; Shen, Qikun. \.\
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12.


    Florescu, Dorian.
    Reconstruction, Identification and Implementation Methods for Spiking Neural Circuits [Electronic resource] / Dorian. Florescu ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 139 p. 42 illus., 27 illus. in color. - ISBN 9783319570815
    Зміст:
Рубрики: Signal processing.
   Image processing.
   Speech processing systems.
   Neural networks (Computer science) .
   Neurosciences.
   System theory.
   Electronic circuits.
   Signal, Image and Speech Processing.
   Mathematical Models of Cognitive Processes and Neural Networks.
   Neurosciences.
   Systems Theory, Control.
   Circuits and Systems.
Анотація: This work is motivated by the ongoing open question of how information in the outside world is represented and processed by the brain. Consequently, several novel methods are developed. A new mathematical formulation is proposed for the encoding and decoding of analog signals using integrate-and-fire neuron models. Based on this formulation, a novel algorithm, significantly faster than the state-of-the-art method, is proposed for reconstructing the input of the neuron. Two new identification methods are proposed for neural circuits comprising a filter in series with a spiking neuron model. These methods reduce the number of assumptions made by the state-of-the-art identification framework, allowing for a wider range of models of sensory processing circuits to be inferred directly from input-output observations. A third contribution is an algorithm that computes the spike time sequence generated by an integrate-and-fire neuron model in response to the output of a linear filter, given the input of the filter encoded with the same neuron model.
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13.


    Hadeler, Karl-Peter.
    Cellular Automata: Analysis and Applications [Electronic resource] / Karl-Peter. Hadeler, Müller, Johannes. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XI, 467 p. 78 illus., 3 illus. in color. - ISBN 9783319530437
    Зміст:
Рубрики: Dynamics.
   Ergodic theory.
   System theory.
   Mathematical physics.
   Biomathematics.
   Dynamical Systems and Ergodic Theory.
   Complex Systems.
   Mathematical Applications in the Physical Sciences.
   Mathematical and Computational Biology.
Анотація: This book focuses on a coherent representation of the main approaches to analyze the dynamics of cellular automata. Cellular automata are an inevitable tool in mathematical modeling. In contrast to classical modeling approaches as partial differential equations, cellular automata are straightforward to simulate but hard to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction of cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of different topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kůrka classification). These classifications suggest to cluster cellular automata, similar to the classification of partial differential equations in hyperbolic, parabolic and elliptic equations. This part of the book culminates in the question, whether properties of cellular automata are decidable. Surjectivity, and injectivity are examined, and the seminal Garden of Eden theorems are discussed. The third part focuses on the analysis of cellular automata that inherit distinct properties, often based on mathematical modeling of biological, physical or chemical systems. Linearity is a concept that allows to define self-similar limit sets. Models for particle motion show how to bridge the gap between cellular automata and partial differential equations (HPP model and ultradiscrete limit). Pattern formation is related to linear cellular automata, to the Bar-Yam model for Turing pattern, and Greenberg-Hastings automata for excitable media. Also models for sandpiles, the dynamics of infectious diseases and evolution of predator-prey systems are discussed. Mathematicians find an overview about theory and tools for the analysis of cellular automata. The book contains an appendix introducing basic mathematical techniques and notations, such that also physicists, chemists and biologists interested in cellular automata beyond pure simulations will benefit.
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Müller, Johannes.; Hadeler, Karl-Peter. \.\
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14.


    Belta, Calin.
    Formal Methods for Discrete-Time Dynamical Systems [Electronic resource] / Calin. Belta, Yordanov, Boyan., Aydin Gol, Ebru. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 284 p. 93 illus., 39 illus. in color. - ISBN 9783319507637
    Зміст:
Рубрики: Control engineering.
   Computational complexity.
   System theory.
   Control and Systems Theory.
   Complexity.
   Systems Theory, Control.
Анотація: This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.
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Yordanov, Boyan.; Aydin Gol, Ebru.; Belta, Calin. \.\
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15.


   
    Extended Abstracts Spring 2016 [Electronic resource] : nonsmooth Dynamics / / ed. Colombo, Alessandro. [et al.]. - 1st ed. 2017. - [S. l. : s. n.]. - IX, 193 p. 57 illus., 38 illus. in color. - ISBN 9783319556420
    Зміст:
Рубрики: System theory.
   Differential equations.
   Difference equations.
   Functional equations.
   Systems Theory, Control.
   Ordinary Differential Equations.
   Difference and Functional Equations.
Анотація: This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "Intensive Research Program on Advances in Nonsmooth Dynamics 2016", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 1st to April 29th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and outlines of prominent discussion sessions. The articles are all the result of direct collaborations initiated during the research program. The topic is the theory and applications of Nonsmooth Dynamics. This includes systems involving elements of: impacting, switching, on/off control, hybrid discrete-continuous dynamics, jumps in physical properties, and many others. Applications include: electronics, climate modeling, life sciences, mechanics, ecology, and more. Numerous new results are reported concerning the dimensionality and robustness of nonsmooth models, shadowing variables, numbers of limit cycles, discontinuity-induced bifurcations and chaos, determinacy-breaking, stability criteria, and the classification of attractors and other singularities. This material offers a variety of new exciting problems to mathematicians, but also a diverse range of new tools and insights for scientists and engineers making use of mathematical modeling and analysis. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.
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Colombo, Alessandro. \ed.\; Jeffrey, Mike. \ed.\; Lázaro, J. Tomàs. \ed.\; Olm, Josep M. \ed.\
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16.


    Badescu, Viorel.
    Optimal Control in Thermal Engineering [Electronic resource] / Viorel. Badescu ; . - 1st ed. 2017. - [S. l. : s. n.]. - XV, 588 p. 179 illus. - ISBN 9783319529684
    Зміст:
Рубрики: Control engineering.
   Thermodynamics.
   Heat engineering.
   Heat transfer.
   Mass transfer.
   System theory.
   Control and Systems Theory.
   Engineering Thermodynamics, Heat and Mass Transfer.
   Systems Theory, Control.
   Thermodynamics.
Анотація: This book is the first major work covering applications in thermal engineering and offering a comprehensive introduction to optimal control theory, which has applications in mechanical engineering, particularly aircraft and missile trajectory optimization. The book is organized in three parts: The first part includes a brief presentation of function optimization and variational calculus, while the second part presents a summary of the optimal control theory. Lastly, the third part describes several applications of optimal control theory in solving various thermal engineering problems. These applications are grouped in four sections: heat transfer and thermal energy storage, solar thermal engineering, heat engines and lubrication.Clearly presented and easy-to-use, it is a valuable resource for thermal engineers and thermal-system designers as well as postgraduate students.
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Badescu, Viorel. \.\
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17.


    Ren, Chiang H.
    How Systems Form and How Systems Break [Electronic resource] : a Beginner’s Guide for Studying the World / / Chiang H. Ren ; . - 1st ed. 2017. - [S. l. : s. n.]. - XII, 179 p. 47 illus., 1 illus. in color. - ISBN 9783319440309
    Зміст:
Рубрики: Computational complexity.
   Vibration.
   Dynamical systems.
   Dynamics.
   Statistical physics.
   System theory.
   Complexity.
   Vibration, Dynamical Systems, Control.
   Complex Systems.
   Systems Theory, Control.
   Statistical Physics and Dynamical Systems.
Анотація: Our world is composed of systems within systems—the machines we build, the information we share, the organizations we form, and elements of nature that surround us. Therefore, nearly every field of study and practice embodies behaviors stemming from system dynamics. Yet the study of systems has remained somewhat fragmented based on philosophies, methodologies, and intentions. Many methodologies for analyzing complex systems extend far beyond the traditional framework of deduction evaluation and may, thus, appear mysterious to the uninitiated. This book seeks to dispel the mysteries of systems analysis by holistically explaining the philosophies, methodologies, and intentions in the context of understanding how all types of systems in our world form and how these systems break. This presentation is made at the level of conceptual understanding, with plenty of figures but no mathematical formulas, for the beginning student and interested readers new to studying systems. Through the conceptual understanding provided, students are given a powerful capability to see the hidden behaviors and unexplained consequences in the world around us.
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Ren, Chiang H. \.\
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18.


    Ay, Nihat.
    Information Geometry [Electronic resource] / Nihat. Ay, Jost, Jürgen., Lê, Hông Vân., Schwachhöfer, Lorenz. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XI, 407 p. 15 illus. - ISBN 9783319564784
    Зміст:
Рубрики: Statistics .
   Data structures (Computer science).
   Differential geometry.
   Convex geometry .
   Discrete geometry.
   Functional analysis.
   System theory.
   Statistical Theory and Methods.
   Data Structures.
   Differential Geometry.
   Convex and Discrete Geometry.
   Functional Analysis.
   Complex Systems.
Анотація: The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated. This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo. The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.
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Jost, Jürgen.; Lê, Hông Vân.; Schwachhöfer, Lorenz.; Ay, Nihat. \.\
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19.


    Hester, Patrick T.
    Systemic Decision Making [Electronic resource] : fundamentals for Addressing Problems and Messes / / Patrick T. Hester, Adams, Kevin MacG. ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XXVIII, 414 p. 162 illus., 67 illus. in color. - ISBN 9783319546728
    Зміст:
Рубрики: Computational complexity.
   System theory.
   Operations research.
   Decision making.
   Management science.
   Complexity.
   Systems Theory, Control.
   Operations Research/Decision Theory.
   Operations Research, Management Science.
Анотація: This expanded second edition of the 2014 textbook features dedicated sections on action and observation, so that the reader can combine the use of the developed theoretical basis with practical guidelines for deployment. It also includes a focus on selection and use of a dedicated modeling paradigm – fuzzy cognitive mapping – to facilitate use of the proposed multi-methodology. The end goal of the text is a holistic, interdisciplinary approach to structuring and assessing complex problems, including a dedicated discussion of thinking, acting, and observing complex problems. The multi-methodology developed is scientifically grounded in systems theory and its accompanying principles, while the process emphasizes the nonlinear nature of all complex problem-solving endeavors. The authors’ clear and consistent chapter structure facilitates the book’s use in the classroom.
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Adams, Kevin MacG.; Hester, Patrick T. \.\
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20.


    Karafyllis, Iasson.
    Predictor Feedback for Delay Systems: Implementations and Approximations [Electronic resource] / Iasson. Karafyllis, Krstic, Miroslav. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVII, 297 p. 12 illus., 11 illus. in color. - ISBN 9783319423784
    Зміст:
Рубрики: System theory.
   Control engineering.
   Systems Theory, Control.
   Control and Systems Theory.
Анотація: This monograph bridges the gap between the nonlinear predictor as a concept and as a practical tool, presenting a complete theory of the application of predictor feedback to time-invariant, uncertain systems with constant input delays and/or measurement delays. It supplies several methods for generating the necessary real-time solutions to the systems’ nonlinear differential equations, which the authors refer to as approximate predictors. Predictor feedback for linear time-invariant (LTI) systems is presented in Part I to provide a solid foundation on the necessary concepts, as LTI systems pose fewer technical difficulties than nonlinear systems. Part II extends all of the concepts to nonlinear time-invariant systems. Finally, Part III explores extensions of predictor feedback to systems described by integral delay equations and to discrete-time systems. The book’s core is the design of control and observer algorithms with which global stabilization, guaranteed in the previous literature with idealized (but non-implementable) predictors, is preserved with approximate predictors developed in the book. An applications-driven engineer will find a large number of explicit formulae, which are given throughout the book to assist in the application of the theory to a variety of control problems. A mathematician will find sophisticated new proof techniques, which are developed for the purpose of providing global stability guarantees for the nonlinear infinite-dimensional delay system under feedback laws employing practically implementable approximate predictors. Researchers working on global stabilization problems for time-delay systems will find this monograph to be a helpful summary of the state of the art, while graduate students in the broad field of systems and control will advance their skills in nonlinear control design and the analysis of nonlinear delay systems.
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Krstic, Miroslav.; Karafyllis, Iasson. \.\
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