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Control and Nonlinearity

Control and Nonlinearity
by Jean-Michel Coron

Publisher: American Mathematical Society 2009
ISBN/ASIN: 0821849182
Number of pages: 444

Description:
This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics.

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