Stabilization of elastic systems by collocated feedback / Kais Ammari and Serge Nicaise.
Material type:
TextSeries: Lecture notes in mathematics ; 2124.Publication details: Switzerland : Springer, 2015.Description: xi, 178 p. ; 24 cmISBN: - 9783319108995
- 515.392 23 Am518
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.392 Am518 (Browse shelf(Opens below)) | Available | 135829 |
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| 515.39 P871 Geometric theory of discrete nonautonomous dynamical systems | 515.39 R662 Dimensions, embeddings, and attractors | 515.39 W467 Differentiable dynamical systems : | 515.392 Am518 Stabilization of elastic systems by collocated feedback / | 515.392 H752 Introduction to perturbation methods / | 515.392 K86 Optimization in function spaces | 515.392 L717 Bifurcation without parameters / |
Includes bibliographical references.
1. Some backgrounds --
2. Stabilization of second order evolution equations by a class of unbounded feedbacks --
3. Stabilization of second order evolution equations with unbounded feedback with delay --
4. Asymptotic behavior of concrete dissipative systems --
5. Systems with delay --
Conclusion and open problems --
Bibliography.
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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