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该文所研究的问题是设计一个公共的状态反馈控制器,同时镇定一组时滞不确定线性系统。文章给出了同时镇定状态反馈控制器存在的一个充分条件,并且基于Lyapunov-Krasorvskii泛函方法给出了状态反馈控制器的构造方法,通过求解一个线性矩阵不等式得到了控制器的设计方法.
The problem studied in this paper is to design a common state feedback controller while stabilizing a set of linear systems with uncertainties and uncertainties. In this paper, a sufficient condition for the existence of a state feedback controller with simultaneous stabilization is given. The construction method of the state feedback controller is given based on the Lyapunov-Krasorvskii functional approach. The controller design method is obtained by solving a linear matrix inequality.