【摘要】 关于满足匹配条件的不确定性时滞系统，文［５］用黎卡提方程方法研究了只有单一常值状态时滞的情形，给出了状态反馈闭环系统鲁棒稳定的一个充分条件．本文采用线性矩阵不等式方法研究一般情形，即所考察的不确定性系统既具有多重时变状态时滞又有多重时变控制输入时滞，并减弱了对系统的限制条件，得出了这类系统可状态反馈镇定的充分条件：一个线性矩阵不等式有解．最后的例题说明了本方法的有效性和较黎卡提方程方法的优越性更多还原

【Abstract】 For uncertain time delayed linear systems, which satisfy the matching conditions, paper presented a sufficient condition to stabilize the given system with single constant time delay in state via linear static state feedback control. This paper generalizes it to the general case, i.e. the systems under consideration are with multiple timevarying delays in both states and control inputs. Under less strict constraints, more general conclusions are obtained, and the correspondent conclusion in paper is only a simple corollary.更多还原