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研究了一类同时具有离散与分布时滞的不确定中立型系统的鲁棒稳定性问题,基于时滞分割方法建立一种新的时滞相关鲁棒稳定性条件.通过把时滞区间非均匀的分解成N份,针对不同的分割区间构造合适的Lyapunov-Krasovskii(L-K)泛函,结合积分不等式处理方法建立了基于线性矩阵不等式(LMI)形式的时滞相关条件,该方法不包含任何的模型变换和自由权矩阵技术,减少了理论与计算上的复杂性,最后的数值算例仿真表明,该方法扩大了系统稳定的时滞上界范围,相比已有结论具有更低的保守性.
A robust stability problem for a class of uncertain neutral systems with both discrete and distributed delays is studied. A new delay-dependent robust stability condition is established based on the time-delay method. (LK) functional for different partitioning interval, a delay-dependent condition based on the form of linear matrix inequality (LMI) is established by combining with integral inequality method, which does not contain any The model transformation and the free-weight matrix technique reduce the complexity of both theory and computation. The numerical simulation results show that this method expands the upper bound of the stable time-delay of the system, which is lower than the previous conclusion .