| 差分方程的两度量稳定和扰动锥值Lyapunov函数 |
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| 引用本文： | 耿凤杰. 差分方程的两度量稳定和扰动锥值Lyapunov函数[J]. 华东师范大学学报(自然科学版), 2007, 0(3) |
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| 作者姓名： | 耿凤杰 |
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| 作者单位： | 华东师范大学,数学系,上海,200062 |
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| 摘 要： | 将扰动锥值Lyapunov函数方法引入差分方程;在较弱的条件下讨论了差分方程两度量稳定((ho,h)-稳定)和两度量渐近稳定((ho,h)-渐近稳定)等性质.
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| 关 键 词： | φo-稳定 一致φo-稳定 (ho,h)-稳定 (ho,h)-渐近稳定 |
Stability in Terms of Two Measures with Perturbing Lyapunov Functions |
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| GENG Feng-jie. Stability in Terms of Two Measures with Perturbing Lyapunov Functions[J]. Journal of East China Normal University(Natural Science), 2007, 0(3) |
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| Authors: | GENG Feng-jie |
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| Abstract: | This paper extended the method of perturbing cone-valued Lyapunov functions for a system of difference equations. Some properties of (ho,h)-stability and (ho,h)-asymptotieal stability were discussed under much weaker assumptions. |
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| Keywords: | φo-stable uniformlyφo-stable (ho,K)-stable (ho,h)-asymptotically stable |
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