关于一类非驻定系统的稳定性  

ON THE STABILITY OF A KIND OF NON-STATIONARY SYSTEMS

作　　者：毛成立[1] 康永海[2] 

机构地区：[1]燕山大学 [2]四平师院

出　　处：《东北师大学报（自然科学版）》1991年第2期23-27,共5页Journal of Northeast Normal University(Natural Science Edition)

摘　　要：本文在常值矩阵 A=(a_(ij))以零为 r 重特征根,其余根均有负实部条件下讨论了非驻定系统 dx/dt=sum.from to j=1(a_(ij)x_j+f_i(t,x_1,…,x_n))零解的稳定问题,得到了判断该系零解为稳定或不稳定的充分条件。This paper discusses the stability of Non-stationary System dx_1/dt +f_1(t,x_1,…,x_n) under the conditions that the characteristic equation of costant matrix A=(a_(ij)) has r-multiple zero roots and its rest roots posses nagtive real parts.Sufficient conditions that can judge the trivial solution of the discussed system to be stable or not are obtained.

关 键 词：非驻定系统 稳定性 特征根 

分 类 号：O175.13[理学—数学]