| 时滞差分系统两种测度的稳定性 |
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| 引用本文： | 傅显隆,张书年. 时滞差分系统两种测度的稳定性[J]. 上海交通大学学报, 2002, 36(2): 263-266 |
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| 作者姓名： | 傅显隆 张书年 |
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| 作者单位： | 上海交通大学,应用数学系,上海,200240 |
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| 基金项目： | 国家自然科学基金资助项目 ( 198310 80 ) |
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| 摘 要： | 利用Liapunov泛函方法建立了无限时滞差分系统基于两种测度的一致稳定和一致渐近稳定性判据，并运用所得的结果讨论了一个具体的无限时滞差分系统的一致稳定和一致渐近稳定性，所得的结果推广和发展了这一方向的现有结论。
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| 关 键 词： | 时滞差分系统 测度 稳定性 |
| 文章编号： | 1006-2467(2002)02-0263-04 |
| 修稿时间： | 2001-02-23 |
Stability of Delay Difference Systems in Terms of Two Measures |
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| FU Xian long,ZHANG Shu nian. Stability of Delay Difference Systems in Terms of Two Measures[J]. Journal of Shanghai Jiaotong University, 2002, 36(2): 263-266 |
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| Authors: | FU Xian long ZHANG Shu nian |
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| Abstract: | By applying Liapunov functional method, this paper established some criterions of uniform stability and uniform asymptotic stability for difference systems with infinite delay in terms of two measures. As an application, the uniform stability and uniform asymptotic stability of a concrete difference system were discussed by using the obtained results. The obtained results extend and develop the corresponding conclusions on the direction. |
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| Keywords: | difference systems with infinite delay stability two measures Liapunov functional |
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