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

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.

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

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.