Analysis of Stability and Robust Stabilization for Impulsive Switched Stochastic Systems

Author

Ying, Yang ; Junmin, Li ; Guopei, Chen

Author_Institution

Xidian Univ., Xi´´an

fYear

2007

Firstpage

712

Lastpage

715

Abstract

Many practical systems in physics, biology, engineering, and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes. In this paper, problems of stability analysis and robust stabilization are investigated for switched stochastic systems which exist impulses at the switching instants. Multiple Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system with arbitrary switching law. The conditions are in linear matrix inequality form and can be used to solve the problems of stabilization and robust stabilization.

Keywords

Lyapunov matrix equations; control system analysis; linear matrix inequalities; probability; robust control; stochastic systems; Lyapunov techniques; arbitrary switching law; impulsive switched stochastic systems; linear matrix inequality; probability; robust stabilization analysis; Finance; Linear matrix inequalities; Mathematics; Physics; Robust stability; Robustness; Stability analysis; Statistics; Stochastic systems; Systems biology; Impulsive systems; Linear matrix inequality(LMI); Robust stabilization; Switched stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4347582

Filename

4347582