一类耦合时滞复杂动态网络的分布采样同步

Distributed Sampled-data Synchronization for a Class of Complex Dynamical Networks with Coupling Delays

关键词:  复杂动态网络  分布采样控制  时间依赖的Lyapunov函数  Jensen不等式  最小耦合力

Key words:  complex dynamical networks  distributed sampled-data control  time-dependent Lyapunov function  Jensen inequality  the minimal coupling force

摘要:

基于分布采样控制策略研究具有耦合时变时滞的复杂动态网络(Complex Dynamical Networks,CDNs)的状态同步问题.引入时间依赖的Lyapunov函数分析同步误差系统的稳定性.运用Jensen不等式处理积分项,并结合凸组合技术,建立了具有较少保守性的分布采样同步判据;并给出了设计具有最小耦合力的分布采样同步控制器的迭代算法.与已往文献结果相比,本研究所得到的判据放宽了采样区间的上界,降低了保守性.最后,通过两个数值实例验证了所提方法的有效性.

Abstract:

Based on the distributed sampled-data control strategy, the state synchronization problem of complex dynamical networks with coupling time-varying delays was studied.A time-dependent Lyapunov function was introduced to analyze the stability of the resulting synchronization error system. Combined with the convex combination technique, the Jensen inequality was used to deal with the integral term.A less conservative criterion for distributed sampled-data synchronization was established. Furthermore, an optimal algorithm for designing the distributed sampled-data synchronization controller with the minimal coupling force was also presented.Compared with the previous literature results,the derived synchronization criterion relaxed the restriction on upper bound of the sampling interval and reduces the conservativeness.Finally,two numerical examples were given to verify the effectiveness of the proposed method.