Nonlinear and optimal control systems

by Thomas L. Vincent

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 principle is deve