中文摘要：

研究一类具有不确定项和积分项的奇异系统的稳定性问题.提出了新的Lyapunov-Krasovskii泛函的构造方法,该方法有效地处理了时滞项和积分项同时存在的问题.利用线性矩阵不等式方法、Schur-引理,给出了标称系统的渐近稳定性判据.进一步,对一类具有变时滞的不确定奇异系统,给出了该系统是鲁棒渐近稳定的充分条件.

英文摘要：

The problem of stability of a class of singular system with uncertainty and integral term is probed.A new Lyapunov-Krasovskii functional is constructed,which effectively solves the problem of time-delay and integral term existing at the same time.Applying linear matrix inequality,Schur-complement,the asymptotic stability criterion of the nominal system is given.Furthermore,a sufficient condition is obtained,which guarantees the uncertain singular systems are robust asymptotically stable.