区间中立型系统时滞依赖鲁棒稳定性的LMI方法

LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems

为了解决现有方法计算困难的问题,将LMI方法用于一类区间中立型系统的鲁棒稳定性分析.定义了一个新的Lyapunov-Krasovskii泛函,引入自由权矩阵表示Leibniz-Newton公式中各项相互关系,得到了线性矩阵不等式(LMIs)形式的时滞依赖鲁棒稳定判据.该判据将区间中立型系统的鲁棒稳定性问题转化为一类LMIs的可解问题.算例表明,所得结果提高了数值的边界,具有更小的保守性.

The LMI （linear matrix inequali with the present approaches for the robust ty） approach was used to solve the difficulty in calculation stability analysis of a kind of interval neutral systems. A systems is transformed into a solvability problem for a class of LMIs. Two numerical examples were given to demonstrate the validity of the proposed approach.