New synchronization criteria for fuzzy complex dynamical network with time-varying delay

This paper addresses the problem of synchronization analysis of Takagi-Sugeno (T-S) fuzzy complex dynamical network in the presence of interval time-varying delay. A novel synchronization criteria is obtained in terms of linear matrix inequalities (LMIs) by defining a Lyapunov-Krasovskii functional (LKF). The delay-range is divided into two segments for stability analysis. A tighter bounding technique for integral terms arising in the derivative of LKF is developed. The Wirtinger inequality and a bounding technique developed by authors are employed to develop the stability criteria. Further, the proposed approach has also been adopted to develop stability criteria for a single T-S fuzzy system with interval time-varying delay. It is shown with the help of numerical examples that the proposed results are less conservative as compared to the other recently reported results.