摘要
本文用矩阵的Lozinskii测度的方法,得到了线性常微分方程系统的某些稳定性准则.导出了关于线性系统χ'=A(t)χ稳定性的充要条件.对于A是常数或周期矩阵的情形,我们的结果与从Jordan标准型和Floquet理论得到的经典结论相同.
In this paper stability criteria are obtained for linear systems of ordinary differential equations by the methods involving the Lozinskii measures of matrices. For the linear system x' - A(t)x, necessary and sufficient conditions for stability are derived, and for the case that A is constant or periodic matrix, these results are equivalent to the classical results from the Jordan canonical form and the Floquet Theory.
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第1期91-100,共10页
Chinese Annals of Mathematics
