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Hybrid Dynamical Systems : Modeling, Stability, and Robustness [electronic resource]
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Goebel, Rafal. Sanfelice, Ricardo G. Teel, Andrew R. |
| 서명/저자사항 | Hybrid Dynamical Systems[electronic resource] :Modeling, Stability, and Robustness. |
| 발행사항 | Princeton : Princeton University Press, 2012. |
| 형태사항 | 1 online resource (227 p.) |
| ISBN | 9781400842636 (electronic bk.) 1400842638 (electronic bk.) |
| 일반주기 |
Description based upon print version of record.
|
| 서지주기 | Includes bibliographical references and index. |
| 내용주기 | Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 The modeling framework; 1.2 Examples in science and engineering; 1.3 Control system examples; 1.4 Connections to other modeling frameworks; 1.5 Notes; 2 The solution concept; 2.1 Data of a hybrid system; 2.2 Hybrid time domains and hybrid arcs; 2.3 Solutions and their basic properties; 2.4 Generators for classes of switching signals; 2.5 Notes; 3 Uniform asymptotic stability, an initial treatment; 3.1 Uniform global pre-asymptotic stability; 3.2 Lyapunov functions; 3.3 Relaxed Lyapunov conditions; 3.4 Stability from containment 3.5 Equivalent characterizations3.6 Notes; 4 Perturbations and generalized solutions; 4.1 Differential and difference equations; 4.2 Systems with state perturbations; 4.3 Generalized solutions; 4.4 Measurement noise in feedback control; 4.5 Krasovskii solutions are Hermes solutions; 4.6 Notes; 5 Preliminaries from set-valued analysis; 5.1 Set convergence; 5.2 Set-valued mappings; 5.3 Graphical convergence of hybrid arcs; 5.4 Differential inclusions; 5.5 Notes; 6 Well-posed hybrid systems and their properties; 6.1 Nominally well-posed hybrid systems; 6.2 Basic assumptions on the data 6.3 Consequences of nominal well-posedness6.4 Well-posed hybrid systems; 6.5 Consequences of well-posedness; 6.6 Notes; 7 Asymptotic stability, an in-depth treatment; 7.1 Pre-asymptotic stability for nominally well-posed systems; 7.2 Robustness concepts; 7.3 Well-posed systems; 7.4 Robustness corollaries; 7.5 Smooth Lyapunov functions; 7.6 Proof of robustness implies smooth Lyapunov functions; 7.7 Notes; 8 Invariance principles; 8.1 Invariance and ?-limits; 8.2 Invariance principles involving Lyapunov-like functions; 8.3 Stability analysis using invariance principles 8.4 Meagre-limsup invariance principles8.5 Invariance principles for switching systems; 8.6 Notes; 9 Conical approximation and asymptotic stability; 9.1 Homogeneous hybrid systems; 9.2 Homogeneity and perturbations; 9.3 Conical approximation and stability; 9.4 Notes; Appendix: List of Symbols; Bibliography; Index; B; C; D; F; G; H; I; J; K; L; M; P; Q; R; S; T; U; W; |
| 요약 | Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-t. |
| 일반주제명 | Mathematics. Nonlinear control theory. Nonlinear systems. Automatic control. Control theory. Dynamics. SCIENCE / System Theory. Nonlinear control theory. Lyapunov functions. MATHEMATICS / Linear & Nonlinear Programming. |
| 언어 | 영어 |
| 기타형태 저록 | Print version:Goebel, RafalHybrid Dynamical Systems : Modeling, Stability, and RobustnessPrinceton : Princeton University Press,c20129780691153896 |
| 대출바로가기 | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=444101 |
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|---|---|---|---|---|---|---|---|---|
| 1 | WE00002751 | 003.75 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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