Control and nonlinearity

Jean-Michel Coron is a French mathematician, born in 1956. He first studied at École Polytechnique, where he worked on his PhD thesis advised by Haïm Brezis. Since 1992, he has studied the Control Theory of Partial Differential Equations, and which includes both control and stabilization (see his book [1] or his Scholarpedia article [2]). His results concern partial differential equations related to fluid dynamics, with emphasis on nonlinear phenomena, and part of them found applications to control channels.He had previously worked in the field of non-linear functional analysis, where he also obtained significant results. Jean-Michel Coron was awarded numerous prizes, like the Fermat prize in 1993, the Jaffé prize in 1995 by the Académie des Sciences, and the Dargelos prize in 2002.He was invited at the 1990 International Congress of Mathematicians (Kyoto) in the section Partial Differential Equations, and he was also invited as a plenary speaker at the 2010 International Congress of Mathematicians, Hyderabad, India.[3] He is now a Professor at the University Pierre et Marie Curie in Paris, and a Senior member of the Institut Universitaire de France.[4] Jean-Michel Coron is the husband of Claire Voisin who was also plenary speaker at the 2010 International Congress of Mathematicians.

出版者:Amer Mathematical Society

作者:Coron, Jean-Michel

页数:426

出版时间:2007

价格:1790.00元

装帧:Hardcover

isbn号码:9780821836682

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. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.