LMI-based stability analysis of fuzzy large-scale systems with time delays

The stability of fuzzy large-scale systems with time delays both in states and in interconnections are 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 conditions are derived using Lyapunov–Krasovskii approach, in combined with the linear matrix inequality (LMI) techniques. We also present a stabilization approach for the delayed fuzzy large-scale systems through fuzzy state feedback controllers. Finally, numerical examples are given to demonstrate the correctness of the theoretical results.