| ON THE PARTIAL EQUIASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS |
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| 引用本文： | Jian Jigui Jiang Minghui Shen Yanjun (Dept. of Control Sci. and Eng.,Huazhong Univ. of Sci. and Tech.,Wuhan 430074, College of Science,China Three Gorges University,Yichang 443002). ON THE PARTIAL EQUIASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 2005, 21(1): 8-13 |
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| 作者姓名： | Jian Jigui Jiang Minghui Shen Yanjun (Dept. of Control Sci. and Eng. Huazhong Univ. of Sci. and Tech. Wuhan 430074 College of Science China Three Gorges University Yichang 443002) |
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| 作者单位： | Dept. of Control Sci. and Eng.，Huazhong Univ. of Sci. and Tech.，Wuhan 430074; College of Science，China Three Gorges University，Yichang 443002 |
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| 基金项目： | The project supported by National Natural Science Foundation of China (No.60274007)National Doctoral Foundation of Cgina(No.20010487005). |
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| 摘 要： | In this paper, the problem of partial equiasymptotic stability for nonlinear time-varying differential equations are analyzed. A sufficient condition of partial stability and a set of sufficient conditions of partial equiasymptotic stability are given. Some of these conditions allow the derivative of Lyapunov function to be positive. Finally, several numerical examples are also given to illustrate the main results.
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| 关 键 词： | 时间变量偏微分方程 Lyapunov函数 等值渐近 稳定性 |
ON THE PARTIAL EQUIASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS |
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| JianJigui JiangMinghui ShenYanjun. ON THE PARTIAL EQUIASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(1): 8-13 |
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| Authors: | JianJigui JiangMinghui ShenYanjun |
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| Abstract: | In this paper, the problem of partial equiasymptotic stability for nonlinear time-varying differential equations are analyzed. A sufficient condition of partial stability and a set of sufficient conditions of partial equiasymptotic stability are given. Some of these conditions allow the derivative of Lyapunov function to be positive. Finally, several numerical examples are also given to illustrate the main results. |
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| Keywords: | time-varying differential equations Lyapunov function partially equiasymptotic stability |
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