Stability analysis of T-S fuzzy partially coupled complex networks with pinning impulsive controllers by step function method

This paper mainly discusses the stability of T-S fuzzy partially coupled complex networks (T-S FPCCNs) with pinning impulsive control. Different from the traditional impulsive control method, the analysis process of the stability can be divided into two parts by adopting the step-function method (the first part is one-span step-function and the second part is multi-span step-function). Then the stability of T-S fuzzy partially coupled complex networks with pinning impulsive control can be analyzed. In addition, the novel pinning impulsive controllers can be designed to ensure the network to achieve globally uniformly attractively stable (GUAS). Furthermore, a comparison system is constructed by using regrouping method and impulsive control theory, and several new sufficient criterions are given to ensure the stability of the T-S FPCCNs. Finally, the correctness of theoretical analysis is proved by experimental cases.