Delay-dependent stabilization for stochastic fuzzy systems with time delays

作者：Zhang Baoyong; Xu Shengyuan^*; Zong Guangdeng; Zou Yun

来源：Fuzzy Sets and Systems, 2007, 158(20): 2238-2250.

DOI：10.1016/j.fss.2007.05.011

• delay-dependent stabilization
• fuzzy systems
• linear matrix inequalities
• stochastic systems
• time delays

This paper is concerned with the delay-dependent stabilization problem for a class of time-delay stochastic fuzzy systems. The time delays are assumed to appear in both the state and the control input. The purpose is the design of a state-feedback fuzzy controller such that the resulting closed-loop system is asymptotically stable in the mean square. A delay-dependent condition for the solvability of this problem is obtained in terms of relaxed linear matrix inequalities (LMIs). By solving these LMIs, a desired controller can be obtained. Finally, a numerical example is given to demonstrate the effectiveness of the present results.

• 出版日期2007-10-16
• 单位南京理工大学; 曲阜师范大学