Title :
The LaSalle stability theorem of general stochastic hybrid systems
Author :
Liu, Haijun ; Mu, Xiaowu
Author_Institution :
Dept. of Math., Univ. of Zhengzhou, Zhengzhou, China
Abstract :
This paper deals with the LaSalle stability theorem of general stochastic hybrid systems. In general the hybrid systems have discontinuous trajectories. And such property brings some difficulty in stability analysis. To overcome this difficulty a new concept named by finite-extraction systems is proposed. For finite-extraction systems their trajectories vary little in a very short time. Depending on this concept and the extended generator formula for GSHS, the LaSalle stability Theorem is extended to general stochastic hybrid systems.
Keywords :
asymptotic stability; stochastic systems; LaSalle stability theorem; discontinuous trajectory; finite extraction systems; general stochastic hybrid system; stability analysis; Asymptotic stability; Differential equations; Diffusion processes; Hybrid power systems; Markov processes; Mathematics; Stability analysis; State-space methods; Stochastic processes; Stochastic systems;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399805
