研究了一类非线性扰动满足范数有界的线性多时变时滞系统的鲁棒镇定问题,通过引入适当的自由权矩阵,应用线性矩阵不等式技术和构造恰当的Lyapunov泛涵,得到了系统镇定的时滞相关的充分条件,此外,还给出了求解无记忆状态反馈控制器的设计方法,最后,用数值例子验证了文中所得的结论的正确性及求解方法的有效性.

By virtue of free weighting matrices, applying LMI technique and con-structing appropriate Lyapunov functional, this paper is concerned with robust stabi-
lization of multiple time-varying delays system with norm bounded nonlinear pertur-bations. Then the system robust stabilization delay-dependent condition is obtained,and the design method of the memoryless state feedback controller. Finally, a nu-merical example shows the effectiveness of the memoryless state feedback controller is proposed.