자료유형  

 단행본

International Standard Book Number  

9781400842636 (electronic bk.)

International Standard Book Number  

1400842638 (electronic bk.)

International Standard Book Number  

0691153892

International Standard Book Number  

9780691153896

Library of Congress Call Number  

QA402 .G889 2012

Dewey Decimal Classification Number  

003.75

Main Entry-Personal Name  

Goebel, Rafal.

Publication, Distribution, etc. (Imprint  

Princeton : Princeton University Press, 2012

Physical Description  

1 online resource (227 p)

General Note  

Description based upon print version of record.

Bibliography, Etc. Note  

Includes bibliographical references and index.

Formatted Contents Note  

완전내용Cover; 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

Formatted Contents Note  

완전내용3.5 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

Formatted Contents Note  

완전내용6.3 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

Formatted Contents Note  

완전내용8.4 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;

Summary, Etc.  

요약Hybrid 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.

Subject Added Entry-Topical Term  

Mathematics

Subject Added Entry-Topical Term  

Nonlinear control theory

Subject Added Entry-Topical Term  

Nonlinear systems

Subject Added Entry-Topical Term  

Automatic control

Subject Added Entry-Topical Term  

Control theory

Subject Added Entry-Topical Term  

Dynamics

Subject Added Entry-Topical Term  

SCIENCE / System Theory.

Subject Added Entry-Topical Term  

Nonlinear control theory.

Subject Added Entry-Topical Term  

Lyapunov functions.

Subject Added Entry-Topical Term  

MATHEMATICS / Linear & Nonlinear Programming.

Added Entry-Personal Name  

Sanfelice, Ricardo G.

Added Entry-Personal Name  

Teel, Andrew R.

Additional Physical Form Entry  

Print version / Goebel, RafalHybrid Dynamical Systems : Modeling, Stability, and Robustness. Princeton : Princeton University Press,c2012. 9780691153896

Electronic Location and Access  

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Control Number  

joongbu:423290