摘要
本文建立了一个关于齐次线性系统的比较定理,借以将对系统 x=A(t)x 的渐近稳定性判定归结于对某个系统 z=C(t)z 的考察.适当地选定 C(t),得到某些简便有效的渐近稳定性判别法。
In this paper we establish a comparison theorem for homogeneous linearsystems,by means of which the detemination of the asymptotic stability ofthe system (?)=A(t)x is deduced to the investigation on certain system (?)=C(t)z.Properly selecting C(t),some convenient and effective criteria forasymptotic stability are obtained.
出处
《数学杂志》
CSCD
北大核心
1991年第1期64-71,共8页
Journal of Mathematics
