Nonlinear and Optimal Control Systems [Hardcover]

Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.Nonlinear Dynamical Systems.
Nonlinear Control Systems.
Nonlinear Optimization.
Lyapunov Stability.
Lyapunov Control System Design.
Controllability of Nonlinear Systems.
Optimal Control Systems.
Optimal Control Design.
Differential Games.
References.
Index.

Thomas L. Vincent is the author of Nonlinear and Optimal Control Systems, published by Wiley. Walter J. Grantham is the author of Nonlinear and Optimal Control Systems, published by Wiley.Nonlinear and Optimal Control Systems offers a self-contained introduction to analysis techniques used in the design of nonlinear and optimal feedback control systems, with a solid emphasis on the fundamental topics of stability, controllability, optimality, and the corresponding geometry. The book develops and presents these key subjects in a unified fashion. An integrated approach is used to develop stability theory, function minimizing feedback controls, optimal controls, and differential game theory.
Starting with a background on differential equations, this accessible text examines nonlinear dynamical systems and nonlinear control systems, including basic results in nonlinear parameter optimization and parametric two-player games. Lyapunov stability theory and control system design are discussed in detail, followed by in-depth coverage of the controllability minimum principle and other important controllability concepts. The optimal control (Pontryagin's) minimum princilÌ