时变复杂动态网络非脆弱同步算法

Non-fragile synchronization algorithm for complex time-varying dynamical networks

对一类时变复杂动态网络问题,通过引入反馈控制策略来实现非脆弱同步.考虑到网络同步轨迹、拓扑信息等时变不确定因素,假设网络的耦合配置矩阵有界,内部耦合矩阵在范数有界扰动,分别设计加性和乘性非脆弱反馈控制算法,利用Lyapunov方法分析其稳定性,得出实现时变复杂动态网络非脆弱同步的线性矩阵不等式条件,利用此条件求出反馈增益矩阵。

A non-fragile synchronization approach is proposed for a time-varying complex dynamical network via state feedback control. Under the assumptions that uncertainty of the weight matrix of the complex network is bounded and the norm of the perturbation of internal coupled matrix is bounded, the additive and product .non-fragile feedback control algorithms are designed and the sufficient conditions for the synchronization of the complex dynamical network are presented in terms of LMIs, respectively. An example is given to show the effectiveness of the algorithm.