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SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMICSYSTEM
作者姓名:王永英  王铁英
作者单位:College of Science,Yanshan University,Qinhuangdao 066004,Dept.of Math.,Dalian Nation College,Dalian 116000
摘    要:In this paper, some sufficient conditions for the stability of system dx/dt = A(t)x + f(t,x) are given which are based on the assumption of that the eigenvalues of the leading principal submatrix of order r and its complementary submatrix of order m in A(t) all have negative real parts.

关 键 词:充分条件  稳定性  特征值  子矩阵  非线性  动态系统

SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMIC SYSTEM
Wang.SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMICSYSTEM[J].微分方程年刊(英文版),2004,20(3):302-311.
Authors:Wang
Affiliation:[1]CollegeofScience,YanshanUniversity,Qinhuangdao066004 [2]Dept.ofMath.,DalianNationCollege,Dalian116000
Abstract:In this paper, some sufficient conditions for the stability of system dx/dt = A(t)x + f(t,x) are given which are based on the assumption of that the eigenvalues of the leading principal submatrix of order r and its complementary submatrix of order m in A(t) all have negative real parts.
Keywords:nonlinear  time-varying dynamic system  stability
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