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Simultaneous Stabilization of Linear Systems

English · Paperback / Softback

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Description

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Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a finite family of systems?", known as the Simultaneous Stabilization Question. This question is satisfactorily solved when the number of systems is limited to two but is open for three or more systems. This constitutes one of the important, longstanding open problems in Linear Systems Theory. Dr. Blondel reviews partial answers and discusses partial answers with equivalent formulations of the problem. Particular emphasis is placed on interlacement conditions. The parity and the interlacing conditions are presented in a clear and unified framework. The final chapter "proves" the latest research progress and shows that, contrary to most of the questions in Linear Systems Theory, there exists no necessary and sufficient conditions for simultaneous stabilization of three or more systems that involve only the coefficients of the systems and a combination of rational operations.

List of contents

Stabilization.- Youla-Kucera parametrization.- Necessary conditions: Interlacement.- Sufficient conditions: Special cases.- Necessary and sufficient conditions: Rational decidability.

Product details

Authors Vincent Blondel
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 22.04.2014
 
EAN 9783540198628
ISBN 978-3-540-19862-8
No. of pages 188
Dimensions 155 mm x 235 mm x 7 mm
Weight 365 g
Illustrations XXI, 188 p. 1 illus.
Series Lecture Notes in Control and Information Sciences
Lecture Notes in Control and Information Sciences
Subject Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering

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