论文标题
关于单层线性智障微分方程的定性特性：最大多重性的特征根必不可少
On qualitative properties of single-delay linear retarded differential equations: Characteristic roots of maximal multiplicity are necessarily dominant
论文作者
论文摘要
本文为在线性时不变的单层延迟类型的单程方程中存在最大多重性的真实根源提供了必要和充分的条件。我们还证明，这种根始终是严格占主导地位的，因此决定了系统的渐近行为。这些结果基于在复合右半平面上的根部假想部分上的先验界限。
This paper presents necessary and sufficient conditions for the existence of a real root of maximal multiplicity in the spectrum of a linear time-invariant single-delay equation of retarded type. We also prove that this root is always strictly dominant, and hence determines the asymptotic behavior of the system. These results are based on improved a priori bounds on the imaginary part of roots on the complex right half-plane.
