Hybrid dynamical systems: modeling, stability, and robustness

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Filled with a wealth of examples to illustrate concepts, this title 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.

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Title Statements

Full title :Hybrid dynamical systems : modeling, stability, and robustness / Rafal Goebel, Ricardo G. Sanfelice, and Andrew R. Teel.

Summary

Edition Statements

Publication Date:©2012.

Publication Statements

Publisher(s):Princeton University Press
Place of Publication:Princeton, N.J
Language:eng
Publication Date:©2012.

The Physical Object

Description:xi, 212 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:9780691153896, 0691153892
oclc:ocn761850895
LC Classification:QA402.35
Dewey Decimal:629.8/36

Preface -- 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 -- 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 -- 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 characterizations -- 3.6 Notes -- 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 -- 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 -- Well-posed hybrid systems and their properties -- 6.1 Nominally well-posed hybrid systems -- 6.2 Basic assumption…