Titlebook: Mathematical Control Theory; Deterministic Finite Eduardo D. Sontag Textbook 19901st edition Springer-Verlag New York, Inc. 1990 Mathematic

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Introduction,d devices that incorporate various mathematical techniques. These devices range from Watt’s steam engine governor, designed during the English Industrial Revolution, to the sophisticated microprocessor controllers found in consumer items —such as CD players and automobiles— or in industrial robots and airplane autopilots.

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Outputs,ortional-only (as opposed to proportional-derivative) control. Section 1.6, in particular, should be reviewed at this point, for a motivational introduction to observability, observers, and dynamic feedback, topics which will be developed next.

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Feedback and Stabilization,described in Chapter 1, as well as an elementary introduction to Lyapunov’s direct method and a proof of a “l(fā)inearization principle” for stability. Some more “advanced” topics on nonlinear stabilization are also included, mostly to indicate some of the directions of current research.

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0939-2475 entific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natura

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