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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some properties of Lyapunov function sets


Author: Emmanuel Moulay
Journal: Proc. Amer. Math. Soc. 138 (2010), 4067-4073
MSC (2010): Primary 93D20, 34D20, 37B25; Secondary 52A05
Published electronically: June 18, 2010
Previous version: Original version posted June 16, 2010
Corrected version: Current version corrects received dates.
MathSciNet review: 2679627
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Abstract: The purpose of this paper is to study some geometrical and topological properties of Lyapunov function sets. These functions are very useful in control theory to solve stability problems. We focus our attention on the set of Lyapunov functions associated with continuous and discontinuous nonlinear systems.


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Additional Information

Emmanuel Moulay
Affiliation: Xlim (UMR-CNRS 6172), Département Signal Image Communications, Université de Poitiers, Bvd. Marie et Pierre Curie, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France
Email: emmanuel.moulay@univ-poitiers.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10298-8
PII: S 0002-9939(2010)10298-8
Keywords: Lyapunov functions, convex cones
Received by editor(s): January 1, 2001
Received by editor(s) in revised form: June 22, 2001
Published electronically: June 18, 2010
Additional Notes: The author was supported in part by the CNRS
Communicated by: Peter A. Clarkson
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.