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Hybrid Dynamical Systems : Modeling, Stability, and Robustness.
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 tha...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Goebel, Rafal, |e author. | |
| 245 | 1 | 0 | |a Hybrid Dynamical Systems : |b Modeling, Stability, and Robustness. |
| 260 | |a Princeton : |b Princeton University Press, |c 2012. | ||
| 300 | |a 1 online resource (227 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a 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-time nonlinear systems. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Automatic control. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 6 | |a Commande automatique. | |
| 650 | 6 | |a Théorie de la commande. | |
| 650 | 6 | |a Dynamique. | |
| 650 | 7 | |a kinetics (dynamics) |2 aat | |
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| 650 | 7 | |a MATHEMATICS |x Linear & Nonlinear Programming. |2 bisacsh | |
| 650 | 7 | |a Automatic control. |2 fast |0 (OCoLC)fst00822702 | |
| 650 | 7 | |a Control theory. |2 fast |0 (OCoLC)fst00877085 | |
| 650 | 7 | |a Dynamics. |2 fast |0 (OCoLC)fst00900295 | |
| 700 | 1 | |a Sanfelice, Ricardo G., |e author. | |
| 700 | 1 | |a Teel, Andrew R., |d 1965- |e author. | |
| 776 | 0 | 8 | |i Print version: |a Goebel, Rafal. |t Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |d Princeton : Princeton University Press, ©2012 |z 9780691153896 |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7s02z |z Texto completo |
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