Abstract
This study concerns the sampled-data synchronization problem for spatiotemporal complex dynamical networks with switching topological structure, and the topologies switching is modeled by a semi-Markov process, where the transition rates between different modes are related to the sojourn-time. By constructing a suitable Lyapunov–Krasovskii functional including an improved looped-functional and utilizing the Bessel–Legendre inequality, two sufficient synchronization conditions with less conservatism are established. A sample-data controller which can ensure the error system stochastically stable with a prescribed dissipative performance is developed. Finally, three examples, which including normal numerical examples, comparative examples and an application example, are presented to demonstrate the validity and superiority of the developed methods.
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