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Sufficient conditions for the existence of a common stabilizer for a family of linear nonstationary plants

Sufficient conditions for the existence of a common stabilizer for a family of linear... We consider the problem on the existence of a common stabilizer for a finite family of continuous linear scalar nonstationary plants. To solve the problem, we suggest to use a topological approach based on finding a common stabilizer in the form of a convex combination of stabilizers for the individual plants and on an application of well-known assertions about the properties of sets on simplices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Sufficient conditions for the existence of a common stabilizer for a family of linear nonstationary plants

Differential Equations , Volume 48 (7) – Jul 25, 2012

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Difference and Functional Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266112070014
Publisher site
See Article on Publisher Site

Abstract

We consider the problem on the existence of a common stabilizer for a finite family of continuous linear scalar nonstationary plants. To solve the problem, we suggest to use a topological approach based on finding a common stabilizer in the form of a convex combination of stabilizers for the individual plants and on an application of well-known assertions about the properties of sets on simplices.

Journal

Differential EquationsSpringer Journals

Published: Jul 25, 2012

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