Stabilization of Elastic Systems by Collocated Feedback |
|
| Author:
| Ammari, Kaïs
Nicaise, Serge |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-3-319-10899-5 |
| Publication Date: | Nov 2014 |
| Publisher: | Springer International Publishing AG
|
| Imprint: | Springer |
| Book Format: | Paperback |
| List Price: | USD $49.99 |
Book Description:
|
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...
More DescriptionBy 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.