多延时线性中立型系统的稳定性的代数判据

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。

Stability of Linear Neutral Systems with Multiple Delay: Algebraic Criteria

Many papers have considered the stability of linear neutral delay-differential systems with multiple delays, however, these given criteria are mostly adequate (literature 1]-4]), so the criteria could be given which are either extension or complement of these given criteria. In the present note, the stability of linear neutral delay-differential systems with multiple delays was investigated. The delay-dependent stability criteria were proposed and then the delay-independent stability criteria are were given. An example was given to illustrate that these criteria may complement those reported in the literature 1,2,3,4].