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Hybrid dynamical systemsmodeling, st...

Goebel, Rafal.

Hybrid dynamical systemsmodeling, stability, and robustness /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hybrid dynamical systemsRafal 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.)
標題:	Automatic control.
電子資源:	http://www.jstor.org/stable/10.2307/j.ctt7s02z
ISBN:	9781400842636 (electronic bk.)

Hybrid dynamical systemsmodeling, stability, and robustness /
Goebel, Rafal.

Hybrid dynamical systemsmodeling, 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:

182078
Automatic control.

LC Class. No.: QA402 / .G889 2012

Dewey Class. No.: 003.75

Hybrid dynamical systemsmodeling, stability, and robustness /
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020 $a 1400842638 (electronic bk.)
020 $z 0691153892
020 $z 9780691153896
035 $a (OCoLC)773567198 $z (OCoLC)817706386
035 $a ocn773567198
040 $a EBLCP $b eng $e pn $c EBLCP $d E7B $d YDXCP $d DEBSZ $d OCLCO $d UMI $d OCLCO $d OCLCQ $d N $d COO $d JSTOR $d OCLCF $d OCLCQ $d OCLCO
050 4 $a QA402 $b .G889 2012
082 0 4 $a 003.75
100 1 $a Goebel, Rafal. $3 697429
245 1 0 $a Hybrid dynamical systems $h [electronic resource] : $b modeling, stability, and robustness / $c Rafal Goebel.
260 $a Princeton : $b Princeton University Press, $c 2012.
300 $a 1 online resource (227 p.)
504 $a Includes bibliographical references and index.
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-t.
588 0 $a Print version record.
650 0 $a Automatic control. $3 182078
650 0 $a Control theory. $3 182248
650 0 $a Dynamics. $3 189568
700 1 $a Sanfelice, Ricardo G. $3 697430
700 1 $a Teel, Andrew R. $3 697431
856 4 0 $u http://www.jstor.org/stable/10.2307/j.ctt7s02z