脉冲控制下一类多权重复杂网络的鲁棒H_(∞)同步

Robust H_(∞)Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control

基于脉冲控制方法,对一类多权重复杂网络的鲁棒H_(∞)同步问题进行了研究,设计了新颖的分布式脉冲控制器。通过在传统的分布式脉冲控制器中添加节点状态变量与同步状态间的误差状态反馈项,以保证多权重复杂网络在受到外部干扰影响时实现鲁棒H_(∞)同步。基于Lyapunov稳定性理论、数学归纳法和其他相关知识,以线性矩阵不等式(Linear Matrix Inequalities,LMIs)的形式给出了网络实现鲁棒H_(∞)同步的充分条件。最后,数值仿真验证了结论的有效性。

Based on the impulsive control method,a robust H_(∞)synchronization problem for a class of complex networks with multi-weights is studied,and a novel distributed impulsive controller is designed.By adding the error state feedback item between the node state variable and the synchronous state in the traditional distributed impulsive controller,the robust H_(∞)synchronization of the complex networks with multi-weights are guaranteed when they were affected by external interference.Based on the stability theory of Lyapunov,mathematical induction and other relevant knowledge,the sufficient conditions for networks to achieve robust H_(∞)synchronization is given in the form of linear matrix inequalities(LMIs).Finally,a numerical simulation verifies the validity of the conclusion.