摘要
导出了四阶常系数中立型时滞方程(1)当θ≠1时为无条件稳定的充分条件,对θ≠1,α_3=α＇_3或θ=1两类方程导出了其为无条件稳定的充要条件。这些条件是简明而实用的代数判定条件,此外,给出了时滞界限。
The fourth-order linear neutral delay differential equation (1) with real constant coefficients is discussed,and the sufficient conditions of its unconditional stability for case θ≠ 1 and the necessary and sufficient conditions for both case θ≠1 ,a3≠a3,and θ= 1 are derived. These conditions are brief and practical algebratic critera. Besides,the delay bound is obtained.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
1991年第4期97-103,共7页
Journal of Chongqing University
关键词
时滞方程
无条件稳定
代数判定
differential - difference equation
stability creteria/unconditional stability
delay bound
