Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376093 | Physica A: Statistical Mechanics and its Applications | 2018 | 16 Pages |
Abstract
In this paper, the synchronization problem of the reaction-diffusion complex networks (RDCNs) with Dirichlet boundary conditions is considered, where the data is sampled randomly. An event-triggered controller based on the sampled data is proposed, which can reduce the number of controller and the communication load. Under this strategy, the synchronization problem of the diffusion complex network is equivalently converted to the stability of a of reaction-diffusion complex dynamical systems with time delay. By using the matrix inequality technique and Lyapunov method, the synchronization conditions of the RDCNs are derived, which are dependent on the diffusion term. Moreover, it is found the proposed control strategy can get rid of the Zeno behavior naturally. Finally, a numerical example is given to verify the obtained results.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Tao Dong, Aijuan Wang, Huiyun Zhu, Xiaofeng Liao,