Mathematical Control Theory: An Introduction (Systems & Control: Foundations & Applications)
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Book Description
Mathematical control theory is a separate branch of mathematics that, over a span of 150 years, has developed an extensive literature covering its various concepts, constructions and applications. Even for deterministic systems, the theory and applications now involve several areas of which only a few are typically presented from a unified viewpoint. In particular, until now, a self-contained treatment of the following areas has been unavailable: the basic theory of finite dimensional linear systems, of nonlinear systems, optimal control and infinite dimensional linear systems. Mathematical Control Theory: An Introduction presents, in a mathematically precise matter, a unified introduction to deterministic control theory. Moreover, with the exception of a few more advanced concepts required for the final part of the book, this presentation requires only a knowledge of basic facts from linear algebra, differential equations and calculus.
In addition to classical concepts and ideas, the book offers many recently published results. In particular, the author includes 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. Some of these topics appear here for the first time in book form.
The book will be ideal for a beginning graduate course in mathematical control theory or for self study by professionals needing a complete picture of the mathematical theory that underlies the application of control theory.
This text has been adopted at: Brown University, Providence, RI University of California, Los Angeles University of Kansas, Lawrence
Mathematical Control Theory: An Introduction (Systems & Control: Foundations & Applications),Jerzy Zabczyk,Birkhauser,0817636455,Applied,Calculus,Control Theory,General,Mathematics,Science/Mathematics,Mathematics / General,Mathematics for scientists & engineers,Nonlinear systems,Systems Theory
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