Stability and Stabilization : An Introduction / William J. Terrell.

Format:

Book

Author/Creator:

Terrell, William J., author.

Language:

English

Subjects (All):

Stability.

Control theory.

Physical Description:

1 online resource (474 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2009]

Language Note:

English

Summary:

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises

Contents:

Frontmatter

Contents

List of Figures

Preface / Terrell, William J.

Chapter One. Introduction

Chapter Two. Mathematical Background

Chapter Three. Linear Systems and Stability

Chapter Four. Controllability of Linear Time Invariant Systems

Chapter Five. Observability and Duality

Chapter Six. Stabilizability of LTI Systems

Chapter Seven. Detectability and Duality

Chapter Eight. Stability Theory

Chapter Nine. Cascade Systems

Chapter Ten. Center Manifold Theory

Chapter Eleven. Zero Dynamics

Chapter Twelve. Feedback Linearization of Single-Input Nonlinear Systems

Chapter Thirteen. An Introduction to Damping Control

Chapter Fourteen. Passivity

Chapter Fifteen. Partially Linear Cascade Systems

Chapter Sixteen. Input-to-State Stability

Chapter Seventeen. Some Further Reading

Appendix A. Notation: A Brief Key

Appendix B. Analysis in R and Rn

Appendix C. Ordinary Differential Equations

Appendix D. Manifolds and the Preimage Theorem; Distributions and the Frobenius Theorem

Appendix E. Comparison Functions and a Comparison Lemma

Appendix F. Hints and Solutions for Selected Exercises

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references (pages [443]-450) and index.

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

ISBN:

9781680159875

1680159879

9781400833351

1400833353

OCLC:

928017613