Title :
A globally detectable hybrid system admits a smooth OSS-Lyapunov function
Author :
Cai, Chaohong ; Teel, Andrew R.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA
Abstract :
This paper presents Lyapunov and asymptotic characterizations of output-to-state stability (OSS) for hybrid systems, emphasizing that a globally detectable (i.e. nonuniform OSS) hybrid system admits a smooth exponential-decay OSS-Lyapunov function. Moreover, we construct the norm estimator for a globally detectable hybrid system
Keywords :
Lyapunov methods; asymptotic stability; detectable hybrid system; output-to-state stability asymptotic characterization; smooth exponential-decay OSS-Lyapunov function; Asymptotic stability; Chaos; Design engineering; Difference equations; Differential equations; Noise robustness; Nonlinear control systems; Nonlinear systems; Robust control; Robust stability;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657352
