Search

In this paper, we investigate the finite-time event-triggered synchronization problem of the reaction–diffusion complex networks (RDCNs) with Dirichlet boundary conditions. A novel nonlinear event-triggered controller is developed, which is based on the random sampled-data. Under the proposed controller, it is found that the Zeno behavior is naturally excluded and the finite-time synchronization of RDCNs is guaranteed. Moreover, by utilizing Lyapunov functional method and the inequality techniques, the finite-time synchronization condition of the RDCNs is derived as well as the finite time is calculated. Finally, numerical simulation results are provided to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]

This paper concerns the synchronization problem of complex networks with the random switching topologies. By modeling the switching of network topologies as a Markov process, a novel event-triggered synchronization strategy is proposed. Unlike the existing strategies, the event detection of this strategy only works at the network topology switching time instant, which can significantly decrease the communication frequency between nodes and save the network resources. Under this strategy, the synchronization problem of complex network is equivalently converted to the stability of a class of Markovian jump systems with a time-varying delay. By using the Lyapunov–Krasovskii functional method and the weak infinitesimal operation, a sufficient condition for the mean square synchronization of the complex networks subject to Markovian switching topologies is established. Finally, a numerical simulation example is provided to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]