Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay

作者：Yan, Huaicheng^*; Huang, Xinhan; Zhang, Hao; Wang, Min

来源：Chaos Solitons & Fractals, 2009, 40(4): 1668-1679.

DOI：10.1016/j.chaos.2007.09.049

• H-INFINITY-CONTROL
• LMI-BASED APPROACH
• LINEAR-SYSTEMS
• EXPONENTIAL STABILITY
• STABILIZATION

In this paper, the problems of delay-dependent robust stability for uncertain stochastic systems and their corresponding deterministic systems with time-varying delay are investigated. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, sonic new delay-dependent stability criteria in terms of LMIs are derived by introducing sonic free weighting matrices which can be selected properly to lead to much less conservative results. Numerical examples are given to illustrate the effectiveness of the proposed method and all improvement over some existing results in the literature.

• 出版日期2009-5-30
• 单位华中科技大学