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Hybrid dynamical systems = modeling,...
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Goebel, Rafal.
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Hybrid dynamical systems = modeling, stability, and robustness /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Hybrid dynamical systems/ Rafal Goebel.
其他題名:
modeling, stability, and robustness /
作者:
Goebel, Rafal.
其他作者:
Sanfelice, Ricardo G.
出版者:
Princeton :Princeton University Press, : 2012.,
面頁冊數:
1 online resource (227 p.)
內容註:
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.
內容註:
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.
內容註:
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.
內容註:
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.
標題:
Automatic control. -
電子資源:
http://www.jstor.org/stable/10.2307/j.ctt7s02z
ISBN:
9781400842636 (electronic bk.)
Hybrid dynamical systems = modeling, stability, and robustness /
Goebel, Rafal.
Hybrid dynamical systems
modeling, stability, and robustness /[electronic resource] :Rafal Goebel. - Princeton :Princeton University Press,2012. - 1 online resource (227 p.)
Includes bibliographical references and index.
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.
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.
ISBN: 9781400842636 (electronic bk.)Subjects--Topical Terms:
535879
Automatic control.
LC Class. No.: QA402 / .G889 2012
Dewey Class. No.: 003.75
Hybrid dynamical systems = modeling, stability, and robustness /
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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.
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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.
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http://www.jstor.org/stable/10.2307/j.ctt7s02z
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