| 论Lyapunov泛函 |
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| 引用本文： | 王联,王慕秋.论Lyapunov泛函[J].深圳大学学报(理工版),1997,14(1):22-36. |
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| 作者姓名： | 王联 王慕秋 |
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| 作者单位： | 中国科学院数学研究所 |
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| 摘 要： | 在Ｔ·Ａ·Ｂｕｒｔｏｎ研究滞后型泛函微分方程理论的基础上，构造了差分微分方程，时滞非线性控制系统及Ｖｏｌｔｅｒａ积分微分方程的Ｌｙａｐｕｎｏｖ泛函，给出了上述３类方程稳定的判据．
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| 关 键 词： | 李雅普诺泛函 渐近稳定性 绝对稳定性 滞后型泛函微分方程 |
On Lyapunov Functional |
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| Wang Lian and Wang Muqiu Institute of Mathematics,Academia Sinica Beijing P.R.China.On Lyapunov Functional[J].Journal of Shenzhen University(Science &engineering),1997,14(1):22-36. |
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| Authors: | Wang Lian and Wang Muqiu Institute of Mathematics Academia Sinica Beijing PRChina |
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| Affiliation: | Wang Lian and Wang Muqiu Institute of Mathematics,Academia Sinica Beijing 100080 P.R.China |
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| Abstract: | By means of the theorem due to T.A.Burton the problem of constructing Lyapunov functional for Difference-Differential Equations,a class of nonlinear control systems with delay,and the Volterra Integral and Differential Equations is discussed and analyzed.Some analysis techniques of concrete constructing Lyapunov functional are presented.Meantime,the historical development of this problem is described. |
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| Keywords: | Lyapunov founctional asymptotical stable absolute stability retarded Functional Differential Equations |
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