扰动下混合时滞耦合动态网络的脉冲同步

Impulsive Synchronization for Coupled Dynamical Networks with Mixed Delays and Disturbances

针对一类具有混合时滞和多重扰动的耦合动态网络,提出了脉冲同步控制方法和新的同步性能指标。在传统的完全同步性指标无法实现的情况下,通过设计脉冲型反馈控制器,使得误差系统的状态最终收敛到有界范围内,克服了外部扰动对同步误差的影响;建立的改进型混合时滞差分不等式,避免了时滞效应对误差系统动力学分析造成的新困难;获得的同步性判据和控制器设计方法,不但改进了已有文献的相关结果,而且适用于兼具混合时滞和多重扰动的耦合网络模型,应用范围更广。

The impulsive synchronization is investigated for a class of coupled dynamical networks with mixed delays and multiple disturbances.The model is more general due to the mixed delays and stochastic noise,which make the result more applicable.The ultimately bounded synchronization is proposed to replace the complete synchronization in previous literature in order to characterize the influence from exogenous disturbances.An improved difference inequality is established to overcome some difficulties caused from mixed delays.The derived results improve and extend some related works in previous literature.