Synopsis :
Mathematical control theory is a separate branch of mathematics that has, over a span of 150 years, developed an extensive literature covering its various ideas and applications. This text presents basic concepts and results in the field. It requires only a knowledge of basic facts from linear algebra, differential equations and calculus, with a few more concepts required for the final part of the book. In addition to classical concepts and ideas, the book presents many recently published results. It explains impulsive control, positive systems, stabilization of nonlinear systems, control of rigid bodies, stabilization of infinite dimensional systems and the minimum energy problem. The book should be useful for a beginning graduate course in mathematical control theory or for self study by professionals needing a complete picture of the mathematics that underly the applications of control theory.
Présentation de l'éditeur:
Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. "Covers a remarkable number of topics . . . The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS
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