Stability Analysis of Large-scale Time-delay Fuzzy Systems with Hybrid Models

One new method is presented in this paper to deal with the stability problems for a kind of complex large-scale fuzzy systems with hybrid models. These hybrid large-scale systems are composed of lots of interconnected subsystems, some of which are described by differential equations and others by Takagi-Sugeno fuzzy models. Also time-delay is considered in this paper. Novel techniques to cope with the interconnection between subsystems are developed. We obtain a set of LMI-based conditions to evaluate the stability of the whole system by checking the stability of the subsystems in parallel, where the computational complexity is greatly reduced. Finally, numerical simulation is given to illustrate its effectiveness.