针对线性奇异时滞系统的时滞相关稳定性问题,提出了一种新的方法来讨论,与之前的方法相比较,这种方法研究出的结果具有较小的保守性.首先将奇异系统转化为带有线性约束的中立系统;其次应用Park's Inequality方法,结合Lyapunov-Krasovskii泛函处理方法,得到了基于线性矩阵不等式的时滞相关稳定性的新判据;最后,通过实例表明,该方法得到的结论与其他文章相比减少了计算量且结论具有较小的保守性.%A new method is proposed to study the delay-dependent stability conditions of the linear singular time-delay system,the result of the new method is less conservativeness than the before.Firstly,by representing the singular system as a neutral system with a linear constraint.Secondly,using the Park's inequality and combing the lyapunov-krasovskii functional method,we obtain a new delay-dependent stability criterion in terms of a linear matrix inequality.Finally,illustrative examples show the new result reduces the amount of computation and is less conservativeness than before.
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