LMI-based approach for stability analysis of fuzzy large-scale system with time delays

The stability of a fuzzy large-scale system with time delays both in states and in interconnections is considered in this paper. The fuzzy large-scale system consists of J interconnected subsystems, which are represented by the Takagi-Sugeno (T-S) fuzzy models. The stability condition is derived using the Lyapunov-Krasovskii approach, combined with linear matrix inequality (LMI) techniques. A numerical example is also given to demonstrate the correctness of the theoretical result.