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

Format:

Book

Author/Creator:

Goebel, Rafal.

Contributor:

Sanfelice, Ricardo G.

Teel, Andrew R.

Language:

English

Subjects (All):

Automatic control.

Control theory.

Dynamics.

Physical Description:

1 online resource (227 p.)

Edition:

Course Book

Place of Publication:

Princeton, N.J. : Princeton University Press, 2012.

Language Note:

English

Summary:

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. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

Contents:

Frontmatter

Contents

Preface

Chapter One. Introduction

Chapter Two. The solution concept

Chapter Three. Uniform asymptotic stability, an initial treatment

Chapter Four. Perturbations and generalized solutions

Chapter Five. Preliminaries from set-valued analysis

Chapter Six. Well-posed hybrid systems and their properties

Chapter Seven. Asymptotic stability, an in-depth treatment

Chapter Eight. Invariance principles

Chapter Nine. Conical approximation and asymptotic stability

Appendix: List of Symbols

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9786613439772

9781283439770

1283439778

9781400842636

1400842638

OCLC:

773567198