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三阶中立型时滞方程无条件稳定的充要条件及时滞界限
引用本文:陈均平 李志勇. 三阶中立型时滞方程无条件稳定的充要条件及时滞界限[J]. 应用数学和力学, 1991, 12(7): 639-643
作者姓名:陈均平 李志勇
作者单位:重庆大学应用数学系
摘    要:本文得到三阶定常中立型时滞方程无条件稳定的充要条件,这些条件是实用的代数判据.此外,还给出了时滞界限.

关 键 词:微分差分方程   无条件稳定性   代数判定
收稿时间:1989-12-16

The Sufficient and Necessary Conditions of Unconditional Stability and the Delay Bound of the Third-Order Neutral Delay Differential Equation
Chen Jun-ping Li Zhi-yong. The Sufficient and Necessary Conditions of Unconditional Stability and the Delay Bound of the Third-Order Neutral Delay Differential Equation[J]. Applied Mathematics and Mechanics, 1991, 12(7): 639-643
Authors:Chen Jun-ping Li Zhi-yong
Affiliation:Department of Applied Mathematics of Chongqing University, Chongqing
Abstract:In this paper, the sufficient and necessary conditions of the unconditional stability, and the delay bound of the third-order neutral delay differential equation with real constant coefficients are given. The conditions are brief and practical algebraic criterions. Furthermore, we get the delay bound.
Keywords:differential-difference equations   unconditional stability   algebraic criterion
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