Extended Dissipative Synchronization of Reaction-Diffusion Genetic Regulatory Networks Based on Sampled-data Control

This work focuses on the extended dissipative synchronization control issue for reaction-diffusion genetic regulatory networks. The purpose of this paper is to design the sampled-data controllers that can meet the transmission requirement of networks and decrease the measure of the transmitted data signal. Furthermore, in order to take full advantage of actual sampling information, a Lyapunov-Krasovskii functional containing some sampled-instant-dependent terms is constructed. Then, sufficient conditions are derived, which guarantee that the error system satisfying extended dissipative performance index and the states of the system converge to zero asymptotically. Meanwhile, the desired sampled-data control gains are obtained by solving the convex optimization problem. Finally, a simulation example is provided to verify the established results.