中文摘要：

利用时滞分解方法和线性矩阵不等式工具，研究了一类具有时变时滞的广义系统的渐近稳定性问题，得到了广义系统正则、无脉冲和渐近稳定的时滞相关充分条件．进一步，利用Matlab软件中的LMI工具箱求解，得到保证广义时滞系统渐近稳定的最大可容许时滞上界．最后仿真示例表明本文方法的有效性和可行性．

英文摘要：

Using a delay decomposition method and linear matrix inequality （LMI） technique, the problems of asymptotic stability of descriptor systems with time-varying delay are studied. A new delay-dependent asymptotic stability criterion is presented to guarantee that the system is regular, impulse free and asymptotic stable. Furthermore, the maximum allowable upper bound （MAUB） on the admissible delay can be determined with the help of linear matrix inequalities toolbox in Matlab. Finally, an illustrative example is given to demon- strata the t~ff~ctiv~n~ nnA f,~=~;K;h, ,f tK .~ _~_1_~＇1~.