Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems

Author

Li, Ya-Jun ; Deng, Fei-qi

Author_Institution

Sch. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China

Volume

6

fYear

2009

fDate

12-15 July 2009

Firstpage

3667

Lastpage

3672

Abstract

Sufficient conditions of the mean-square exponential stability and stochastic robust stabilization are investigated for a class of uncertain impulsive stochastic systems by means of stochastic Lyapunov stability theory and Itocirc differential rule. All results in this paper are expressed in terms of linear matrix inequalities, and a numerical example is presented to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; asymptotic stability; differential equations; linear matrix inequalities; stochastic systems; H_infin performance; Ito differential rule; linear matrix inequalities; mean-square exponential stability; stochastic Lyapunov stability theory; stochastic robust stabilization; sufficient condition; uncertain impulsive stochastic systems; Automation; Control systems; Cybernetics; Linear matrix inequalities; Lyapunov method; Machine learning; Robust stability; Stochastic systems; Symmetric matrices; Uncertainty; Impulsive stochastic system; Linear matrix inequality (LMI); Mean-square exponential stability; Robustly stochastically stable;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212723

Filename

5212723