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＜電子ブック＞
Stability of Dynamical Systems : On the Role of Monotonic and Non-Monotonic Lyapunov Functions / by Anthony N. Michel, Ling Hou, Derong Liu
(Systems & Control: Foundations & Applications. ISSN:23249757)

版	2nd ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	XVIII, 653 p. 60 illus., 14 illus. in color : online resource
著者標目	*Michel, Anthony N author Hou, Ling author Liu, Derong author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Control engineering LCSH:Robotics LCSH:Automation LCSH:Differential equations LCSH:Difference equations LCSH:Functional equations FREE:Systems Theory, Control FREE:Control, Robotics, Automation FREE:Differential Equations FREE:Difference and Functional Equations
一般注記	Introduction.- Dynamical Systems -- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces.-Fundamental Theory: Specialized Stability and Boundedness Results on Metric Spaces -- Applications to a Class of Discrete-Event Systems -- Finite-Dimensional Dynamical Systems -- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems.  For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonicLyapunov functions.Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks.   The authors cover the following four general topics:   -          Representation and modeling of dynamical systems of the types described above -          Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions -          Specialization of this stability theory to finite-dimensional dynamical systems -          Specialization of this stability theory to infinite-dimensional dynamical systems   Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this bookcan be used as a textbook for graduate courses in stability theory of dynamical systems.  It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.   Review of the First Edition:   “The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems.  [This] is a very interesting bookwhich complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.”   - Alessandro Astolfi, IEEE Control Systems Magazine, February 2009 HTTP:URL=https://doi.org/10.1007/978-3-319-15275-2

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