Control of Partial Differential Equations

Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory
Cover of the book Control of Partial Differential Equations by Piermarco Cannarsa, Roger Brockett, Olivier Glass, Fatiha Alabau-Boussouira, Jérôme Le Rousseau, Jean-Michel Coron, Enrique Zuazua, Springer Berlin Heidelberg
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Author: Piermarco Cannarsa, Roger Brockett, Olivier Glass, Fatiha Alabau-Boussouira, Jérôme Le Rousseau, Jean-Michel Coron, Enrique Zuazua ISBN: 9783642278938
Publisher: Springer Berlin Heidelberg Publication: April 23, 2012
Imprint: Springer Language: English
Author: Piermarco Cannarsa, Roger Brockett, Olivier Glass, Fatiha Alabau-Boussouira, Jérôme Le Rousseau, Jean-Michel Coron, Enrique Zuazua
ISBN: 9783642278938
Publisher: Springer Berlin Heidelberg
Publication: April 23, 2012
Imprint: Springer
Language: English

The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

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The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

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