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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377202
