Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

In this paper, the problem of globally synchronization is investigated for an array of N linearly coupled singular complex networks with Markovian jump and mixed time-delays. The complex network systems consist of m modes and the systems switch from one mode to another according to a Markovian chain with known transition probability. The time delays include discrete delays and distributed delays. The singular matrices in the consider systems are mode-dependent. By utilizing the Lyapunov–Krasovskii stability theory, linear matrix inequality (LMI) approach, stochastic analysis techniques and Kronecker product, some sufficient globally synchronization criteria are obtained. Several numerical examples are given to illustrate the feasibility and effectiveness of the proposed methods.