一类带有时滞和时滞耦合复杂网络的脉冲同步

Impulsive Synchronization of a Class of Complex Networks with Delay and Delayed Coupling

研究了耦合项和非线性项含有时滞的复杂网络的脉冲同步问题.根据可控的复杂网络达到同步时耦合项会自动消失,可以得到含有脉冲影响复杂网络的误差动态网络.根据脉冲微分方程的稳定性分析,建立合适的Lyapunov-Krasovskii泛函,得到含有脉冲影响的复杂网络新的脉冲同步准则.最后,复杂网络的微分方程模型和误差系统仿真图说明了脉冲同步准则的有效性和正确性.

The impulsive synchronization of complex networks with delayed coupling and delayed nonlinear term was studied. When the controlled complex networks achieved synchronization, the coupling terms were vanished. After that, the error dynamical network was derived. Then, according to the stability analysis of impulsive differential equation and establishing a proper Lyapunov-Krasovskii functional, the new synchronization criteria for complex networks with impulsive effects were obtained. Finally, differential equation of complex networks and the error system simulation diagrams showed that the synchronization criteria are effective and feasible.