Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
Chen Guang Xu, Jingyi Wang, Jianwen Feng, Yi Zhao · Mathematical Problems in Engineering · 2013
The synchronization problem of stochastic complex networks with Markovian switching and time-varying delays is investigated by using impulsive pinning control scheme. The complex network possesses noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for synchronization are obtained by employing the Lyapunov-Krasovskii functional method, Itö's formula, and the linear matrix inequality (LMI). Numerical examples are also given to demonstrate the validity of the theoretical results.