Title :
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
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; Hinfin 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;
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
DOI :
10.1109/ICMLC.2009.5212723
