DocumentCode
3298285
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
fYear
2009
fDate
15-18 Dec. 2009
Firstpage
3969
Lastpage
3973
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;
fLanguage
English
Publisher
ieee
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
ISSN
0191-2216
Print_ISBN
978-1-4244-3871-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2009.5399805
Filename
5399805
Link To Document