Title :
Asymptotic Stability in Hybrid Systems via Nested Matrosov Functions
Author :
Sanfelice, Ricardo G. ; Teel, Andrew R.
Author_Institution :
AME Dept., Univ. of Arizona, Tucson, AZ, USA
fDate :
7/1/2009 12:00:00 AM
Abstract :
A theorem on nested Matrosov functions is extended to time-varying hybrid systems. It provides sufficient conditions for uniform global asymptotic stability of a compact set. An application to parameter identification with state resets is made and illustrated on an example.
Keywords :
asymptotic stability; time-varying systems; asymptotic stability; hybrid systems; nested Matrosov functions; parameter identification; time-varying systems; Adaptive control; Asymptotic stability; Differential equations; Lyapunov method; Output feedback; Parameter estimation; Stability analysis; Sufficient conditions; Time varying systems; Vehicles; Invariance principle; Matrosov theorem; stability of hybrid systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2015524
