Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses
Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses
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DOI：
10.1016/j.automatica.2015.01.008
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
Yang Tang;Huijun Gao;Wenbing Zhang;J. Kurths
中科院分区：
文献类型：
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作者：
Yang Tang;Huijun Gao;Wenbing Zhang;J. Kurths
研究了一类具有部分混合脉冲和未知时变但有界时滞的非线性随机网络化多智能体系统的指数型领导-跟随一致性问题.部分混合脉冲的主要特征是时变脉冲不仅同时由同步脉冲和去同步脉冲组成，而且它们也被注入到多智能体系统中的一小部分节点中。提出了三种部分混合脉冲：固定部分混合脉冲、周期部分混合脉冲和类尝试一次的部分混合脉冲。利用李雅普诺夫函数理论和比较原理，给出了在所提出的三种部分混合脉冲下，全局指数型领导者跟随一致性的条件.机器人系统的领导者跟随一致性的仿真验证了所提出的结果的有效性，并显示所提出的部分混合脉冲的优点。
In this paper, the exponential leader-following consensus problem is investigated for a class of nonlinear stochastic networked multi-agent systems with partial mixed impulses and unknown time-varying but bounded delays. The main feature of partial mixed impulses is that time-varying impulses are not only composed of synchronizing and desynchronizing impulses simultaneously but they are also injected into a fraction of nodes in multi-agent systems. Three kinds of partial mixed impulses are proposed: fixed partial mixed impulses, periodic partial mixed impulses, and try-once-discard-like partial mixed impulses. By means of the Lyapunov function theory and the comparison principle, conditions are derived for ensuring global exponential leader-following consensus under the presented three kinds of partial mixed impulses. Simulations of leader-following consensus of robotic systems are provided to validate the effectiveness of the proposed results and to show the advantages of the proposed partial mixed impulses.