基于自适应-脉冲控制方法实现时变耦合驱动-响应复杂网络的投影同步  

Adaptive-impulsive control for projective synchronization in the drive-response complex network with time-varying coupling

作　　者：曾长燕[1] 孙梅[1] 田立新[1] 

机构地区：[1]江苏大学非线性科学研究中心,镇江212013

出　　处：《物理学报》2010年第8期5288-5292,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:90610031);教育部基金(批准号:09YJA90088)资助的课题~~

摘　　要：最近,对时变延迟网络的脉冲稳定性的研究大量出现,但通过自适应-脉冲控制方法获得的时变延迟网络同步准则却很少.本文中,运用自适应-脉冲控制方法,设计自适应反馈控制器、自适应律和线性脉冲控制器,研究时变耦合部分线性系统驱动-响应复杂网络的投影同步.获得时变耦合网络的自适应-脉冲投影同步准则.并且不需要网络的耦合构造矩阵是不可约的.另外,运用数值模拟证实方案的有效性和可行性.Recently,most of works had studied the impulsive stabilization of networks with time-varying delays. But there are few results about synchronization criterion of networks with time-varying delays via adaptive-impulsive control. In this paper,by adaptive-impulsive control method,projective synchronization in the drive-response complex network of partially linear systems with time-varying coupling is investigated. An adaptive-feedback controller,updating laws and a linear impulsive controller are proposed. An adaptive-impulsive projective synchronization criterion of network with time-varying coupling is established. And the coupling configuration matrix in network is not required irreducible. Moreover,numerical simulation is used to verify the effectiveness of the scheme.

关 键 词：复杂网络 投影同步 时变耦合 自适应-脉冲控制 

分 类 号：O415.5[理学—理论物理]