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.