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Necessary and sufficient conditions for the existence of liapunov function of Lur'e form with $$\dot V \leqslant 0$$

Necessary and sufficient conditions for the existence of liapunov function of Lur'e form with... This paper is concerned with the problem of absolute stability for a control system with several executive elements. Necessary and sufficient conditions are obtained for the existence of Liapunov function of Lur'e form with negative semi-definite derivative (i.e. $$\dot V \leqslant 0$$ ). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Necessary and sufficient conditions for the existence of liapunov function of Lur'e form with $$\dot V \leqslant 0$$

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 1990 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02019150
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the problem of absolute stability for a control system with several executive elements. Necessary and sufficient conditions are obtained for the existence of Liapunov function of Lur'e form with negative semi-definite derivative (i.e. $$\dot V \leqslant 0$$ ).

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 15, 2005

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