| 时滞差分系统依照两种测度的稳定性 |
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| 引用本文： | 吴述金,张书年.时滞差分系统依照两种测度的稳定性[J].上海交通大学学报,2001,35(12):1912-1915. |
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| 作者姓名： | 吴述金 张书年 |
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| 作者单位： | 上海交通大学,应用数学系, |
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| 基金项目： | 国家自然科学基金资助项(19831030) |
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| 摘 要： | 运用变异李亚谱诺夫方法，讨论了时滞差分系统依照两种测度的稳定性。借助于中间测度h^*(n,x)，建立了由常关分系统两种测度稳定性而推出时滞关芬系统相应的两种测度稳定性的判别准则。作为特例，给出了易于检验的比较原理，并用算例说明所得结果之应用。
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| 关 键 词： | 时滞差分系统 变异李亚谱诺夫方法 稳定性 测度 |
| 文章编号： | 1006-2467(2001)12-1912-04 |
| 修稿时间： | 2000年6月9日 |
Stability Analysis in Terms of Two Measures for Delay Difference Systems |
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| WU Shu jin,ZHANG Shu nian.Stability Analysis in Terms of Two Measures for Delay Difference Systems[J].Journal of Shanghai Jiaotong University,2001,35(12):1912-1915. |
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| Authors: | WU Shu jin ZHANG Shu nian |
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| Abstract: | Employing the so called variational Liapunov method, this article discussed the stability properties of delay difference systems in terms of two measures. Utilizing the auxiliary measure h *(n,x) , it established several criteria in which the stability properties in terms of two measures for ordinary difference system imply the corresponding stability properties in terms of two measures for the relevant delay difference system. As a special case, an easy to check comparison theorem was derived. Moreover, some examples were given to illustrate the applications of the obtained results. |
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| Keywords: | delay difference systems variational Liapunov method stability two measures |
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