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

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 639-643

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.

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The Sufficient and Necessary Conditions of Unconditional Stability and the Delay Bound of the Third-Order Neutral Delay Differential Equation

Department of Applied Mathematics of Chongqing University, Chongqing

Received Date: 1989-12-16
Publish Date: 1991-07-15

Abstract

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.
- differential-difference equations,
- unconditional stability,
- algebraic criterion

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References(7)

References

[1]	秦元勋、刘永清、王联、郑祖麻,《带有时滞的动力系统的运动稳定性》(第二版),科学出版社,北京又1989).
[2]	刘永清、宋中昆,《大型动力系统的理论与应用》(卷1),华中工学院出版社,武汉(1988).
[3]	余元洪二阶滞后系统的时滞界限,应用数学学报,8(3)(1985),334-339.
[4]	陈均平、周进,三阶常系统线性滞后型方程无条件稳定的代数判定,重庆大学学报,9(6)(1990),54-56.
[5]	Bellman,R.and K.L.Cooke,Differenfia Difference Equations,New York,Academic Press(l983).
[6]	Pontrjal;in,L.S,,On the zeros of some elementary transcendental functions,Izv,Akad,Nauk SSSR,Ser,Mat.6(1982),115-134.
[7]	余元洪,一类中立型方程解的渐近稳定性,应用数学学报.8(4)(1986),467-471.