Nonlinear Dynamical Systems and Control : A Lyapunov-Based Approach / VijaySekhar Chellaboina, Wassim M. Haddad.

Format:

Book

Author/Creator:

Haddad, Wassim M., Author.

Chellaboina, VijaySekhar, Author.

Language:

English

Subjects (All):

Nonlinear control theory.

Automatic control.

Lyapunov functions.

Physical Description:

1 online resource (975 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2011]

Language Note:

English

Summary:

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Contents:

Frontmatter

Contents

Conventions and Notation

Preface

Chapter One. Introduction

Chapter Two. Dynamical Systems and Differential Equations

Chapter Three. Stability Theory for Nonlinear Dynamical Systems

Chapter Four. Advanced Stability Theory

Chapter Five. Dissipativity Theory for Nonlinear Dynamical Systems

Chapter Six. Stability and Optimality of Feedback Dynamical Systems

Chapter Seven. Input-Output Stability and Dissipativity

Chapter Eight. Optimal Nonlinear Feedback Control

Chapter Nine. Inverse Optimal Control and Integrator Backstepping

Chapter Ten. Disturbance Rejection Control for Nonlinear Dynamical Systems

Chapter Eleven. Robust Control for Nonlinear Uncertain Systems

Chapter Twelve. Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions

Chapter Thirteen. Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems

Chapter Fourteen. Discrete-Time Optimal Nonlinear Feedback Control

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 26. Nov 2019)

ISBN:

1-4008-4104-6

OCLC:

749265041