Simultaneous Stabilization of Linear Systems
Author:   Vincent Blondel
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1994 ed.
Volume:   191
ISBN:  

9783540198628


Pages:   188
Publication Date:   01 December 1993
Format:   Paperback
Availability:   Out of stock   Availability explained
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Simultaneous Stabilization of Linear Systems


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Overview

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.

Full Product Details

Author:   Vincent Blondel
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   191
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.365kg
ISBN:  

9783540198628


ISBN 10:   3540198628
Pages:   188
Publication Date:   01 December 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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

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