Stabilization of Elastic Systems by Collocated Feedback / by Kaïs Ammari, Serge Nicaise.

Format:

Book

Author/Creator:

Ammari, Kaïs., Author.

Nicaise, Serge., Author.

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2124

Language:

English

Subjects (All):

Differential equations, Partial.

System theory.

Partial Differential Equations.

Systems Theory, Control.

Local Subjects:

Partial Differential Equations.

Systems Theory, Control.

Physical Description:

1 online resource (XI, 178 p. 3 illus., 2 illus. in color.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

ISBN:

3-319-10900-6