中立型时变时滞系统时滞相关稳定性

On Delay-Dependent Stability of Neutral Systems with Time-Varying Delay

针对中立型时变时滞系统,应用增广Lyapunov-Krasovskii泛函结合自由权矩阵方法,研究其时滞相关稳定性问题。通过考虑时变时滞,时滞上界及它们的差三者之间的关系,同时保留Lyapunov-Krasovskii泛函导数中的有用信息,得到了具有更低守性的基于线性矩阵不等式(LMI)的时滞相关绝对稳定条件。数值实例表明本文方法所得结果优于已有文献的结果。

Investigates the problem of stability of neutral systems with time-varying delay by employing an augmented Lyapunov-Krasovskii functional and a free-weighting matrix approach. Takes into account the relationship among the time- varying delay, its upper bound and their differences, retains useful terms in the derivative of Lyapunov-Krasovskii functional, and obtains less conservative LMI-based delay-dependent stability conditions. A numerical example shows that the results obtained in this study are better than published results.