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Eduardo D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems.
Second Edition, Springer, New York, 1998. (531+xvi pages, ISBN 0-387-984895)
This textbook introduces the core concepts and results of Control and System Theory. Unique in its emphasis on foundational aspects, it takes a "hybrid" approach in which basic results are derived for discrete and continuous time scales, and discrete and continuous state variables. Primarily geared towards mathematically advanced undergraduate or graduate students, it may also be suitable for a second engineering course in control which goes beyond the classical frequency domain and state-space material. The choice of topics, together with detailed end-of-chapter links to the bibliography, makes it an excellent research reference as well.

The Second Edition constitutes a substantial revision and extension of the First Edition, mainly adding or expanding upon advanced material, including: Lie-algebraic accessibility theory, feedback linearization, controllability of neural networks, reachability under input constraints, topics in nonlinear feedback design (such as backstepping, damping, control-Lyapunov functions, and topological obstructions to stabilization), and introductions to the calculus of variations, the maximum principle, numerical optimal control, and linear time-optimal control.

Also covered, as in the First Edition, are notions of systems and automata theory, and the algebraic theory of linear systems, including controllability, observability, feedback equivalence, and minimality; stability via Lyapunov, as well as input/output methods; linear-quadratic optimal control; observers and dynamic feedback; Kalman filtering via deterministic optimal observation; parametrization of stabilizing controllers, and facts about frequency domain such as the Nyquist criterion.

Author: Eduardo D. Sontag
Version: 2 Filesize: 2.06 MB

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