DocumentCode :
646120
Title :
On an extension of homogeneity notion for differential inclusions
Author :
Bernuau, Emmanuel ; Efimov, D. ; Perruquetti, W. ; Polyakov, A.
Author_Institution :
LAGIS, Univ. Lille Nord de France, Villeneuve d´Ascq, France
fYear :
2013
fDate :
17-19 July 2013
Firstpage :
2204
Lastpage :
2209
Abstract :
The notion of geometric homogeneity is extended for differential inclusions. This kind of homogeneity provides the most advanced coordinate-free framework for analysis and synthesis of nonlinear discontinuous systems. Theorem of L. Rosier [1] on a homogeneous Lyapunov function existence for homogeneous differential inclusions is presented. An extension of the result of Bhat and Bernstein [2] about the global asymptotic stability of a system admitting a strictly positively invariant compact set is also proved.
Keywords :
Lyapunov methods; asymptotic stability; geometry; nonlinear differential equations; advanced coordinate-free framework; differential inclusions; geometric homogeneity; global asymptotic stability; homogeneity notion extension; homogeneous Lyapunov function; homogeneous differential inclusions; nonlinear discontinuous system synthesis; Asymptotic stability; Context; Stability analysis; Standards; Tensile stress; Trajectory; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
Type :
conf
Filename :
6669525
Link To Document :
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