Nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks

This paper investigates the nonfragile dissipativity synchronization control problem of discrete-time Takagi-Sugeno (T-S) fuzzy Markovian jump complex dynamical networks. Considering the randomly occurring uncertainty, the nonfragile synchronization controller is proposed. According to the strict dissipative performance, a sufficient condition is developed to ensure that the complex network is stochastically stable by using the fuzzy-basis-dependent and mode-dependent Lyapunov function. Then, new design conditions about the nonfragile controller are obtained in the form of linear matrix inequalities. Finally, the validity of the established theoretical results is illustrated by a numerical example.