随机切换拓扑下具有区间时变时滞的二阶离散多智能体系统的均方包含控制  

Mean Square Containment Control of Second-order Discrete-time Multi-agent Systems with Markovian Switching Topologies and Interval Time-varying Delays

作　　者：郑宝杰[1] 张玉莲[1] 慕小武[2] 

机构地区：[1]河南教育学院数学与统计学院,河南郑州450046 [2]郑州大学数学与统计学院,河南郑州450001

出　　处：《数学的实践与认识》2017年第16期140-148,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11571322;11401540);河南省科技攻关计划项目(172102210242;162102210103);河南省科技厅项目(102300410212)

摘　　要：研究随机切换拓扑下具有区间时变时滞的二阶离散多智能体系统的均方包含控制问题.通过一个变量变换,把原系统的均方包含控制问题转化为新系统的均方稳定性问题.根据随机稳定性理论和线性矩阵不等式的方法,给出了多智能体系统解决均方包含控制的充分条件.最后,仿真实例验证了理论结果的有效性.This paper studies mean square containment control problem of second-order discrete-time multi-agent systems with Markovian switching topologies and interval time- varying delays. By performing a variable transformation, the mean square containment control problem of the original system is transformed into the mean square stability of the new system. Based on the theory in stochastic stability and linear matrix inequalities （LMIs）, sufficient conditions are given to ensure that the multi-agent systems achieve containment in mean square sense. Finally, a numerical simulation is provided to show the effectiveness of theoretical results.

关 键 词：多智能体系统 包含控制 马尔科夫切换拓扑 区间时变时滞 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP18[自动化与计算机技术—控制科学与工程]