【摘要】 在文[2]的基础上,我们考虑非自治非线性系统: (dx/dt)=G(t,x)F(x)(·)这里G(t,x)为n×n矩阵,F(x)为n维向量。运用向量ляпунов函数得到(·)的稳定性判据。改进了文[1],[2]的部分结果。更多还原

【Abstract】 Based on Paper[2], We consider the nonautonomousnonlinear system (dx)/(dt)=G(t,x)F(x) (*) where G(t, x) denotes an n×n matrix, F(x) denotes an n-demensionalvector. By means of vector Lyapunov function the system stability criterion isobtained, and the Partial results of paper [1,2] are improved.更多还原