Title :
An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays
Author :
Lu, Chien-Yu ; Tsai, Jason Sheng-Hong ; Jong, Gwo-Jia ; Su, Te-Jen
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Abstract :
Based on the linear matrix inequality method, we introduce the robust stability of uncertain linear stochastic differential delay systems with delay dependence. The parameter uncertainty is norm-bounded and the delays are time varying. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems.
Keywords :
delay-differential systems; linear matrix inequalities; robust control; stochastic systems; uncertain systems; LMI-based approach; delay dependence; linear differential delay systems; linear matrix inequality method; norm-bounded uncertainties; parameter uncertainty; robust stabilization; time-varying delays; uncertain stochastic systems; Delay effects; Delay systems; Differential equations; Linear matrix inequalities; Robust stability; Robustness; Stochastic systems; Time varying systems; Transmission line matrix methods; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.808482