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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. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319152752 |
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EB00238167 |
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データ種別 | 電子ブック |
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分 類 | LCC:Q295 LCC:QA402.3-402.37 DC23:3 |
書誌ID | 4000115766 |
ISBN | 9783319152752 |
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※2017年9月4日以降