| 具有限时滞一阶线性泛函微分方程的稳定性区域划分 |
| |
| 引用本文： | 白萍,岳锡亭,张白羽.具有限时滞一阶线性泛函微分方程的稳定性区域划分[J].数学的实践与认识,2010,40(18). |
| |
| 作者姓名： | 白萍 岳锡亭 张白羽 |
| |
| 摘 要： | 讨论了一阶线性有限时滞泛函微分方程的稳定性区域,用一个超平面把参数空间划分为不同的稳定性区域.这个超平面上的每一点对应于特征方程在纯虚轴上至少存在一个零根(原点除外),所得结论可用于Hofp分枝分析和控制理论.
|
| 关 键 词： | 时滞方程 条件稳定 稳定性区域划分 |
Stability Region Decomposition of Solutions of First Order Linear Functional Differential Equations with Finite Delay |
| |
| BAI Ping,YUE Xi-ting,ZHANG Bai-yu.Stability Region Decomposition of Solutions of First Order Linear Functional Differential Equations with Finite Delay[J].Mathematics in Practice and Theory,2010,40(18). |
| |
| Authors: | BAI Ping YUE Xi-ting ZHANG Bai-yu |
| |
| Abstract: | The stability region of solutions of first order linear functional differential equation with finite delay are discussed.In particular,we partition the coefficient space into different stability regions by means of hyper surface whose points correspond to characteristic equation having at least one zero on the imaginary axis.(the caseλ=0 is not excluded). Our conclusion are effective especially for Hopf bifurcation analysis any control theory. |
| |
| Keywords: | delay equation conditional stability stability region decomposition |
| 本文献已被 万方数据 等数据库收录！ |
