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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Bibliographic Details
Main Authors: Ammari, Kaïs (Author), Nicaise, Serge (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:Lecture Notes in Mathematics, 2124
Subjects:
Online Access:Full Text via HEAL-Link
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100 1 |a Ammari, Kaïs.  |e author. 
245 1 0 |a Stabilization of Elastic Systems by Collocated Feedback  |h [electronic resource] /  |c by Kaïs Ammari, Serge Nicaise. 
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. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |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 Mathematics. 
650 0 |a Partial differential equations. 
650 0 |a System theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Systems Theory, Control. 
700 1 |a Nicaise, Serge.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319108995 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2124 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-10900-8  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)