中文摘要：

考虑到复杂动态网络节点之间信息传输不可避免地受到信道噪声干扰以及传输时延的随机发生,提出了一种新的控制策略,使复杂动态网络在均方意义下渐近稳定,且满足一定的H∞性能指标.将复杂动态网络的节点信息在传输过程中存在的时延描述成Markov链形式,利用Lyapunov稳定性理论、随机分析理论与H∞控制方法,建立了随机时延复杂动态网络控制器存在准则.最后,以Lorenz混沌系统作为节点动力学,构造复杂动态网络,并且用数值仿真的方法验证了所提出的控制器能够将具有随机时延且受到通信噪声扰动的复杂动态网络渐近稳定在平衡点,满足一定H∞性能指标要求.

英文摘要：

A novel H∞ control strategy is proposed to stabilize complex networks coupled with communication noise and random time delays. Time delays in the node＇s information transmitted over the network can be described with Markov chains. Based on the theories of Lyapunov stability and stochastic analysis, and using an H∞ control approach, a criterion for the controller design is derived. Numerical simulation shows that the proposed controller is valid in stabilizing complex networks in which a chaotic Lorenz system is used as the node dynamics, and a certain H∞ index is satisfied.