
Distributed Systems
Stabilization, Robustness and Optimal Control
Mohamed Ouzahra(Author)
LAP Lambert Academic Publishing
Published on 23. May 2012
Book
Paperback/Softback
136 pages
978-3-659-13633-7 (ISBN)
Description
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.
More details
Language
English
Place of publication
Germany
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 220 mm
Width: 150 mm
Thickness: 9 mm
Weight
221 gr
ISBN-13
978-3-659-13633-7 (9783659136337)
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Schweitzer Classification
Person
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.