摘要
利用定性分析方法和代数理论中代数方程根的性质 ,研究了三阶线性时滞微分方程的无条件稳定性 .得到了三阶线性时滞微分方程无条件稳定性的充要条件及三次函数无正零点和在 [- 1 ,1 ]上无零点判定的充要条件 .
The Unconditional stability in kinds of 3_order delay difference equations is investigated by using analysis method and properties of root of algebra equation, and the necessary and sufficient conditions are derived of its unconditional stability for all zero point. And the necessary and sufficient conditions of the cubic function and for no positive zero point in the interval(-∞,+∞) and no zero point in the interval [-1,1] are given.
出处
《陕西师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2001年第1期12-16,共5页
Journal of Shaanxi Normal University:Natural Science Edition
基金
陕西省自然科学基金!资助项目 ( 96SL0 3)