论文标题
具有无限延迟的非自主线性差异系统的稳定性
Stability for nonautonomous linear differential systems with infinite delay
论文作者
论文摘要
我们研究了具有无限延迟的一般$ n $维非自主线性微分方程的稳定性。延迟独立标准以及标准，具体取决于某些有限延迟的大小。在第一种情况下，延迟的效果由非删除的对角线负反馈术语和渐近和指数渐近稳定性的足够条件主导。在第二种情况下，稳定性取决于某些有界对角线延迟和系数的大小，尽管延迟无限的术语可能共存。我们的结果涵盖了DDES具有离散和分布式延迟，并提高了文献中的一些最新成就。
We study the stability of general $n$-dimensional nonautonomous linear differential equations with infinite delays. Delay independent criteria, as well as criteria depending on the size of some finite delays are established. In the first situation, the effect of the delays is dominated by non-delayed diagonal negative feedback terms, and sufficient conditions for both the asymptotic and the exponential asymptotic stability of the system are given. In the second case, the stability depends on the size of some bounded diagonal delays and coefficients, although terms with unbounded delay may co-exist. Our results encompass DDEs with discrete and distributed delays, and enhance some recent achievements in the literature.
