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

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Haddad, Wassim M.,; Chellaboina, VijaySekhar,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2011]; ©2008
• Year of Publication: 2011
• Language: English
• Physical Description: 1 online resource (944 p.) :; 84 line illus.

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.

Table of 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