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Stabilization of Elastic Systems by Collocated Feedback

By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a bounde...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ammari, Kaïs (Autor), Nicaise, Serge (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes in Mathematics, 2124
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Stabilization of Elastic Systems by Collocated Feedback  |h [electronic resource] /  |c by Kaïs Ammari, Serge Nicaise. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XI, 178 p. 3 illus., 2 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2124 
505 0 |a Some backgrounds -- Stabilization of second order evolution equations by a class of unbounded feedbacks -- Stabilization of second order evolution equations with unbounded feedback with delay -- Asymptotic behaviour of concrete dissipative systems -- Systems with delay -- Bibliography. 
520 |a By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations. 
650 0 |a Differential equations. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 1 4 |a Differential Equations. 
650 2 4 |a Systems Theory, Control . 
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