中文摘要：

研究马尔科夫切换拓扑下带有非一致时变时滞的多智能体系统的H∞领导跟随一致性问题.通过一个模型变换,把原系统的领导跟随一致性问题转化为新的误差系统的均方稳定性问题.根据马尔科夫时滞系统的稳定性理论,以线性矩阵不等式的形式给出了多智能体系统实现领导跟随一致且具有给定的H∞性能指标的充分条件.最后,仿真实例验证了理论结果的有效性.

英文摘要：

This paper studies H∞ leader-following consensus problem of multi-agent systems with Markovian switching topologies and nonuniform time-varying delays.By performing a model transformation,the leader-following consensus of the original system is transformed into the mean square stochastic stability of the new error system.Based on the theory in stochastic stability for time-delays systems with Markovian jumping parameters,sufficient conditions in terms of a set of Unear matrix inequalities（LMIs） are given to ensure that the multi-agent systems achieve leader-following consensus with a prescribed H∞ performance.Finally,a numerical simulation is provided to show the effectiveness of theoretical results.