一类三阶线性时变系统的稳定性  

THE STABILITY OF A LINEAR TIME-DEPENDENT SYSTEM OF 3 FIRST-ORDER DIFFERENTIAL EQUATIONS

作　　者：康永海[1] 徐明廉[1] 

机构地区：[1]四平师范学院,四平136000

出　　处：《松辽学刊（自然科学版）》1997年第3期41-44,共4页Songliao Journal (Natural Science Edition)

摘　　要：本文应用系统的分析理论讨论了一类三阶线性时变系统的稳定性，给出了保证该系统库解渐近稳定的充分条件，本文不要求系统的系数矩阵的特征根均有负实部，因此所得到的结果可以应用于更广的范围．in this paper we discuss the stability of linear time-dependent system of 3 first-order differential equations dx/dt=A(t)x by analising the System, and give the sufficient conditions that guarantee the asymptotical stability of the trivial solution of the systen. It is not indisptnsable in the paper that all eigenvalues of the coefficient matrix of the system have negutive rtal parts, there fore it is convenitnt and efficient to apply the conclusion drawn in the paper to drscnssion on some practical problems.

关 键 词：稳定性 线性时变系统 零解 渐近稳定 

分 类 号：O231[理学—运筹学与控制论] O175.13[理学—数学]