| SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMICSYSTEM |
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| 引用本文： | 王永英,王铁英. SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMICSYSTEM[J]. Annals of Differential Equations, 2004, 20(3): 302-311 |
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| 作者姓名： | 王永英 王铁英 |
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| 作者单位： | College of Science，Yanshan University，Qinhuangdao 066004，Dept.of Math.，Dalian Nation College，Dalian 116000 |
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| 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.
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| 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 |
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| Wang. SUFFICIENT CONDITIONS FOR STABILITY OF NONLINEAR TIME-VARYING DYNAMIC SYSTEM[J]. 微分方程年刊(英文版), 2004, 20(3): 302-311 |
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| Authors: | Wang |
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| Affiliation: | [1]CollegeofScience,YanshanUniversity,Qinhuangdao066004 [2]Dept.ofMath.,DalianNationCollege,Dalian116000 |
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| 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. |
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| Keywords: | nonlinear time-varying dynamic system stability |
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