Distributed Systems: Stabilization, Robustness and Optimal Control - Softcover

Ouzahra, Mohamed

 
9783659136337: Distributed Systems: Stabilization, Robustness and Optimal Control
Softcover
ISBN 10: 3659136336 ISBN 13: 9783659136337
Verlag: LAP LAMBERT Academic Publishing, 2012

Inhaltsangabe

Though linear models are frequently used to approximate real dynamical processes for convenience, there are many other real problems that can not be modeled by linear systems, but have bilinear structures. Bilinear systems constitute an intermediate subclass between linear and nonlinear systems. This monograph develops the problem of stabilization and partial stabilization for linear and bilinear distributed systems using suitable control laws among available options. If this is indeed possible, then one usually desires to achieve this steering while optimizing a certain criterion. The proposed stabilizing controls include constrained control laws and provide an explicit decay rate of the stabilized state. The central tool here is the use of feedback in order to correct for deviations from the desired behavior. In this context, the notion of robustness is needed. The mathematical models of our interest are described by distributed linear and bilinear systems, and the applications include parabolic and hyperbolic equations.

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Reseña del editor

Though linear models are frequently used to approximate real dynamical processes for convenience, there are many other real problems that can not be modeled by linear systems, but have bilinear structures. Bilinear systems constitute an intermediate subclass between linear and nonlinear systems. This monograph develops the problem of stabilization and partial stabilization for linear and bilinear distributed systems using suitable control laws among available options. If this is indeed possible, then one usually desires to achieve this steering while optimizing a certain criterion. The proposed stabilizing controls include constrained control laws and provide an explicit decay rate of the stabilized state. The central tool here is the use of feedback in order to correct for deviations from the desired behavior. In this context, the notion of robustness is needed. The mathematical models of our interest are described by distributed linear and bilinear systems, and the applications include parabolic and hyperbolic equations.

Biografía del autor

Mohamed Ouzahra received his doctorate in applied mathematics from Moulay Ismail University, Morocco, in 2004; and the aggregation in mathematicsin 1999. He then joined the Department of Mathematics, ENS, University of Sidi Mohamed Ben Abdellah, where he is currently a Professor. His research interests lie in the nonlinear control theory.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
3659136336
ISBN 13 
9783659136337
Einband
Tapa blanda
Anzahl der Seiten
136
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Verantwortliche Person
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