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Stabilization of elastic systems by ...

Ammari, Kais.

Stabilization of elastic systems by collocated feedback

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stabilization of elastic systems by collocated feedbackby Kais Ammari, Serge Nicaise.
Author:	Ammari, Kais.
other author:	Nicaise, Serge.
Published:	Cham :Springer International Publishing :2015.
Description:	xi, 178 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Stability.
Online resource:	http://dx.doi.org/10.1007/978-3-319-10900-8
ISBN:	9783319109008 (electronic bk.)

Stabilization of elastic systems by collocated feedback
Ammari, Kais.

Stabilization of elastic systems by collocated feedback[electronic resource] /by Kais Ammari, Serge Nicaise. - Cham :Springer International Publishing :2015. - xi, 178 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21240075-8434 ;. - Lecture notes in mathematics ;2035..

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.

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.

ISBN: 9783319109008 (electronic bk.)

Standard No.: 10.1007/978-3-319-10900-8doiSubjects--Topical Terms:

191051
Stability.

LC Class. No.: QA871

Dewey Class. No.: 515.353

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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.
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