DocumentCode
2465110
Title
Homogeneous hybrid systems and a converse Lyapunov theorem
Author
Tuna, S. Emre ; Teel, Andrew R.
Author_Institution
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
6235
Lastpage
6240
Abstract
In this paper we introduce homogeneity for hybrid systems (using generalized dilations) and provide basic implications of this property similar to that of continuous-time and discrete-time homogeneous systems. In our main result we state that stability of a hybrid system that is robust with respect to small perturbations implies the existence of a homogeneous Lyapunov function for the system. This converse Lyapunov theorem unifies the previous results
Keywords
Lyapunov methods; continuous time systems; discrete time systems; perturbation techniques; continuous-time homogeneous systems; converse Lyapunov theorem; discrete-time homogeneous systems; generalized dilations; homogeneous Lyapunov function; homogeneous hybrid systems; perturbations; Control systems; Convergence; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust stability; USA Councils;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377202
Filename
4177094
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