Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme

The work is concerned with the synchronization issue of complex dynamic networks subject to the semi-Markov process. The semi-Markov process is used to describe the switching among different modes of network topology. Meanwhile, a constant signal transmission delay is considered in the sampled-data controller when dealing with the synchronization problem. The main purpose is to design a novel memory sampled-data control scheme to ensure the synchronization of the master-slave system. With the help of some improved integral inequality techniques, several sufficient conditions are obtained to assure the error system achieves the stochastic stability and satisfies an extended dissipative performance index via constructing Lyapunov function. Finally, two simulation examples are given to verify the validity and superiority of the memory sampled-data controller designed.