"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.
Ch. 1 Introduction 1
Ch. 2 Dynamical Systems and Differential Equations 9
Ch. 3 Stability Theory for Nonlinear Dynamical Systems 135
Ch. 4 Advanced Stability Theory 207
Ch. 5 Dissipativity Theory for Nonlinear Dynamical Systems 325
Ch. 6 Stability and Optimality of Feedback Dynamical Systems 411
Ch. 7 Input-Output Stability and Dissipativity 471
Ch. 8 Optimal Nonlinear Feedback Control 511
Ch. 9 Inverse Optimal Control and Integrator Backstepping 557
Ch. 10 Disturbance Rejection Control for Nonlinear Dynamical Systems 603
Ch. 11 Robust Control for Nonlinear Uncertain Systems 649
Ch. 12 Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions 719
Ch. 13 Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems 763
Ch. 14 Discrete-Time Optimal Nonlinear Feedback Control 845
Bibliography 901
Index
