Finite-time event-triggered synchronization for reaction–diffusion complex networks

Aijuan Wang, Xiaofeng Liao and Tao Dong

Physica A: Statistical Mechanics and its Applications, 2018, vol. 509, issue C, 111-120

Abstract: 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.

Keywords: Reaction–diffusion complex networks (RDCNs); Finite-time synchronization; Event-triggered control; Sampled-data; Zeno behavior (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:509:y:2018:i:c:p:111-120

DOI: 10.1016/j.physa.2018.05.144

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