School of Science, Wuhan University of Technology, Wuhan 430070, China.
School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China.
Neural Netw. 2021 Jul;139:223-236. doi: 10.1016/j.neunet.2021.03.011. Epub 2021 Mar 18.
This paper investigates the quasi-synchronization problem of the stochastic heterogeneous complex dynamical networks with impulsive couplings and multiple time-varying delays. It is shown that this kind of dynamical networks can achieve exponential quasi-synchronization by exerting impulsive control added on only one chosen pinning node. By employing the Lyapunov stability theory, some sufficient criteria on quasi-synchronization for this dynamical network are established, revealing the relationship between the quasi-synchronization performance and the stochastic perturbations as well as the frequency and strength of impulsive coupling. Finally, some numerical examples are used to illustrate the effectiveness of the main results.
本文研究了具有脉冲耦合和多个时变时滞的随机异构复杂动力网络的准同步问题。研究表明，通过在一个选定的钉扎节点上施加脉冲控制，可以使这种动力网络达到指数准同步。利用李雅普诺夫稳定性理论，建立了该动力网络准同步的一些充分准则，揭示了准同步性能与随机扰动以及脉冲耦合的频率和强度之间的关系。最后，通过一些数值实例验证了主要结果的有效性。
