Stabilization of Elastic Systems by Collocated Feedback

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory
Cover of the book Stabilization of Elastic Systems by Collocated Feedback by Kaïs Ammari, Serge Nicaise, Springer International Publishing
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Author: Kaïs Ammari, Serge Nicaise ISBN: 9783319109008
Publisher: Springer International Publishing Publication: November 3, 2014
Imprint: Springer Language: English
Author: Kaïs Ammari, Serge Nicaise
ISBN: 9783319109008
Publisher: Springer International Publishing
Publication: November 3, 2014
Imprint: Springer
Language: English

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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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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