近年来多延时线性中立型微分系统的稳定性被广泛研究,大量的充分条件被得到,这些条件互为补充,使得很多这类系统的稳定性通过这些充分条件得以判定(参见文献[1-4]),我们借助于矩阵理论得到了依赖于延时的稳定性代数判据;进而给出了独立于延时的稳定性代数判据,最后给出例子来说明所给判据是对文献[1-4]所给判据的补充。 In recent years, the stability of the multi-delay linear neutral differential system has been studied extensively, and a large number of sufficient conditions have been obtained. These conditions complement each other, and the stability of many of these systems can be judged by these sufficient conditions (see [1 - 4]), we obtain the stability algebraic criterion that depends on the delay by means of the matrix theory. Furthermore, we give the stability algebraic criterion independent of the delay. Finally, an example is given to show that the given criterion is based on the literature [1-4] Supplementary criteria given.