摘要
讨论了矢量微分方程dxdt=f(t,x)的零解的稳定性,对李雅普诺夫函数V(t,x)的限制条件作了改进,不再要求dVdt负定,但对V(t,x)的要求也有所改变,推广了扰动微分方程组零解稳定性的若干判定定理.
It is discussed the stability of null solution of vector differential equation dxdt=f(t,x);improved the limiting condition of Liapunov function V(t,x),no longer asking for negative stable of dVdt but changing of V(t,x);and generalized certain criteria theorems of null solution stability of disturbing differential equations.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2003年第2期87-90,共4页
Journal of Shenyang Normal University:Natural Science Edition
基金
山东省自然科学基金资助项目(Y2001A03)
