Download E-books Control and Nonlinearity (Mathematical Surveys and Monographs) PDF

By Jean-Michel Coron

This booklet offers tips on how to examine the controllability and the stabilization of nonlinear regulate platforms in finite and endless dimensions. The emphasis is wear particular phenomena because of nonlinearities. specifically, many examples are given the place nonlinearities change into necessary to get controllability or stabilization. quite a few tools are awarded to review the controllability or to build stabilizing suggestions legislation. the facility of those equipment is illustrated via a number of examples coming from such components as celestial mechanics, fluid mechanics, and quantum mechanics. The publication is addressed to graduate scholars in arithmetic or regulate conception, and to mathematicians or engineers with an curiosity in nonlinear keep watch over platforms ruled by way of usual or partial differential equations.

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