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

作　　者：杜师师 李兵 邹聪 DU Shi-shi;LI Bing;ZOU Cong(School of Mathematics and Statistics,Chongqing Jiaotong University, Chongqing 400074, China)

机构地区：[1]重庆交通大学数学与统计学院,重庆400074

出　　处：《重庆工商大学学报（自然科学版）》2021年第3期105-110,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：重庆市自然科学基金(CSTC2019JCYJ-MSXMX0722);重庆市留创项目(CX2018115);重庆交通大学研究生科研创新项目(2020S0056);重庆市研究生导师团队建设项目(JDDSTD201802).

摘　　要：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.

关 键 词：耦合动态网络 随机扰动 混合时滞 脉冲控制 同步性 

分 类 号：O357.41[理学—流体力学]