Nonlinear Dynamical Systems and Control A Lyapunov-Based Approach
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Description: Nonlinear Dynamical Systems and Controlpresents 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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $150.00
Copyright year: 2008
Publisher: Princeton University Press
Publication date: 2/17/2008
Size: 7.25" wide x 10.00" long x 2.25" tall
|Dynamical Systems and Differential Equations|
|Stability Theory for Nonlinear Dynamical Systems|
|Advanced Stability Theory|
|Dissipativity Theory for Nonlinear Dynamical Systems|
|Stability and Optimality of Feedback Dynamical Systems|
|Input-Output Stability and Dissipativity|
|Optimal Nonlinear Feedback Control|
|Inverse Optimal Control and Integrator Backstepping|
|Disturbance Rejection Control for Nonlinear Dynamical Systems|
|Robust Control for Nonlinear Uncertain Systems|
|Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions|
|Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems|
|Discrete-Time Optimal Nonlinear Feedback Control|