Local stability analysis for continuous-time Takagi-Sugeno fuzzy systems with time delay

In this brief paper, a membership function dependent Lyapunov-Krasovskii functional is designed to investigate the stability analysis of T-S (Takagi-Sugeno) fuzzy systems with time delay. According to the time derivatives of the membership function, both local and global stability conditions are obtained. For the local case, the local stability region is obtained by designing an algorithm. In the end, an example is given to illustrate the effectiveness of the method in this paper.