线性周期系统关于部分变元稳定性的研究

本文研究线性周期系统关于部分变元的稳定性.将该系统关于部分变元的稳定性等价地转化为称为μ—型系统的全变元的稳定性;我们建立了该系统的关于部分变元的 Floquct 理论;同时给出了该系统关于部分变元运动稳定性的 Liapunov 直接方法,最后我们研究了第一次近似决定的非线性周期系统的关于部分变元的稳定性.

A RESEARCHP ON PARTIAL STAILITY FOR LINEAR PERIODIC SYSTEMS

In this paper,we study the pratial stability for linear periodic systems. we reduce the partial stability of the systems to that of all variables of the systems called u-type systems equivalently;we establish the Floquet's theory and give the Liapunov's direct method for the systems with respect to part of variables,in the and,of this paper we study the partial stability determined by the first approximations for nonlinear periodic systems.