区间时变时滞奇异系统稳定性准则改进

Improved stability criteria for singular systems with interval time-varying delay

为解决区间时变时滞奇异系统的稳定性问题,基于Lyapunov稳定性理论,通过采用新构造的Lyapunov泛函和线性矩阵不等式方法,以线性矩阵不等式形式给出了使得系统满足正则、无脉冲且稳定的时滞相关型准则的改进结果.研究结果表明:所给准则可有效判定区间时变时滞奇异系统的稳定性,它比已有一些结果包含更少的矩阵变量,且具有较小的保守性,同时通过数值实例进行了验证.

In order to overcome the problem of stability for singular systems with interval time-varying delay, based on Lyapunov stability theory, using a new constructed Lyapunov function and linear matrix inequality （LMI） approach, a new improved delay-dependent stability criterion is presented to ensure the systems to be regular, impulse free and stable in terms of LMIs. The result shows that it can be used to effectively judge the stability of singular systems with interval time-varying delay. Moreover, it has fewer matrix variables, and less conservatism than some existing ones.