时变时滞广义系统的时滞相关稳定性新判据

New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay

采用新型Lyapunov-Krasovskii增广泛函并引入积分不等式,结合凸组合的方法,研究了具有时变时滞广义系统的时滞相关稳定性问题,给出了基于线性矩阵不等式(LMI)的时滞相关稳定性新判据。数值例子表明,与文献[15]中的方法相比,本文结果可获得较大的允许时滞上界,数值例子验证了本文结果的有效性和优越性。

This paper studies the stability problem for singular systems with time-varying delay. A new de- lay-dependent stability criterion is given in terms of linear matrix inequalities （LMIs） by using a new type of augmented Lyapunov Krasovskii functionals and the integral inequality method combined with the con- vex combination technique. Numerical examples are given to demonstrate that the proposed method can obtain larger allowable delay bounds than the method in reference [15].