Description |
1 online resource (xiii, 344 pages) |
Series |
Lecture notes in mathematics, 1617-9692 ; 2048 |
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Lecture notes in mathematics (Springer-Verlag) ; 2048.
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Contents |
On Some Recent Advances on Stabilization for Hyperbolic Equations / Fatiha Alabau-Boussouira -- Notes on the Control of the Liouville Equation / Roger Brockett -- Some Questions of Control in Fluid Mechanics / Olivier Glass -- Carleman Estimates and Some Applications to Control Theory / Jérôme Le Rousseau -- The Wave Equation: Control and Numerics / Sylvain Ervedoza and Enrique Zuazua |
Summary |
Annotation 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 |
Analysis |
Mathematics |
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Differential equations, partial |
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Systems theory |
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Numerical analysis |
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Partial Differential Equations |
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Systems Theory, Control |
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Fluid- and Aerodynamics |
Bibliography |
Includes bibliographical references |
Subject |
Differential equations, Partial -- Congresses
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Control theory -- Congresses
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Ecuaciones en derivadas parciales -- Congresos
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Teoría de control -- Congresos
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Control theory
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Differential equations, Partial
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Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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Form |
Electronic book
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Author |
Alabau-Boussouira, Fatiha.
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Cannarsa, Piermarco, 1957-
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Coron, Jean-Michel, 1956-
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ISBN |
9783642278938 |
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3642278930 |
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3642278922 |
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9783642278921 |
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