Synopses & Reviews
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.
Review
"The book is lucid and well written and contains numerous worked examples for specific applications to important classes of systems as well as numerous problems and suggestions for further study at the end of the main chapters. This book will be an excellent source of reference materials for graduate students of applied mathematics, control theorists and engineers studying the stability theory of dynamical systems and controls. It will also be a rich source of materials for self study by researchers and practitioners interested in systems theory of engineering, controls, computer science, chemistry, life sciences and economics."--Olusola Akinyele, Mathematical Reviews
Review
The book is lucid and well written and contains numerous worked examples for specific applications to important classes of systems as well as numerous problems and suggestions for further study at the end of the main chapters. This book will be an excellent source of reference materials for graduate students of applied mathematics, control theorists and engineers studying the stability theory of dynamical systems and controls. It will also be a rich source of materials for self study by researchers and practitioners interested in systems theory of engineering, controls, computer science, chemistry, life sciences and economics. Olusola Akinyele
Review
Wassim Haddad, Winner of the 2014 Pendray Aerospace Literature Award, American Institute of Aeronautics and Astronautics
Synopsis
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.
Synopsis
"An excellent textbook. This is an up-to-date, comprehensive, and extremely well presented exposition of modern methods in nonlinear control systems. It contains every topic I would like to see in such a book. The writing is superb and the style is clear and lucid. This is a highly welcome addition to the literature."
--Frank L. Lewis, University of Texas, Arlington"A significant contribution. This book can be used as a textbook for engineering students and others, and it is useful to researchers because it contains up-to-date methods and information. As far as I know, there is no one book that covers all the material contained in this book."--V. Lakshmikantham, Florida Institute of Technology
Synopsis
"An excellent textbook. This is an up-to-date, comprehensive, and extremely well presented exposition of modern methods in nonlinear control systems. It contains every topic I would like to see in such a book. The writing is superb and the style is clear and lucid. This is a highly welcome addition to the literature."--Frank L. Lewis, University of Texas, Arlington
"A significant contribution. This book can be used as a textbook for engineering students and others, and it is useful to researchers because it contains up-to-date methods and information. As far as I know, there is no one book that covers all the material contained in this book."--V. Lakshmikantham, Florida Institute of Technology
Synopsis
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.
Synopsis
"An excellent textbook. This is an up-to-date, comprehensive, and extremely well presented exposition of modern methods in nonlinear control systems. It contains every topic I would like to see in such a book. The writing is superb and the style is clear and lucid. This is a highly welcome addition to the literature."--Frank L. Lewis, University of Texas, Arlington
"A significant contribution. This book can be used as a textbook for engineering students and others, and it is useful to researchers because it contains up-to-date methods and information. As far as I know, there is no one book that covers all the material contained in this book."--V. Lakshmikantham, Florida Institute of Technology
About the Author
Wassim M. Haddad is professor of aerospace engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is associate professor of mechanical, aerospace, and biomedical engineering at the University of Tennessee. They are the coauthors of "Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control" and "Thermodynamics: A Dynamical Systems Approach" (both Princeton).
Table of Contents
Conventions and Notation xv
Preface xxi
Chapter 1. Introduction 1
Chapter 2. Dynamical Systems and Differential Equations 9
Chapter 3. Stability Theory for Nonlinear Dynamical Systems 135
Chapter 4. Advanced Stability Theory 207
Chapter 5. Dissipativity Theory for Nonlinear Dynamical Systems 325
Chapter 6. Stability and Optimality of Feedback Dynamical Systems 411
Chapter 7. Input-Output Stability and Dissipativity 471
Chapter 8. Optimal Nonlinear Feedback Control 511
Chapter 9. Inverse Optimal Control and Integrator Backstepping 557
Chapter 10. Disturbance Rejection Control for Nonlinear Dynamical Systems 603
Chapter 11. Robust Control for Nonlinear Uncertain Systems 649
Chapter 12. Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions 719
Chapter 13. Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems 763
Chapter 14. Discrete-Time Optimal Nonlinear Feedback Control 845
Bibliography 901
Index 939