| 具有时变时滞大系统的新的稳定性条件 |
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| 引用本文： | 周少武,张志飞,谭文,刘祖润. 具有时变时滞大系统的新的稳定性条件[J]. 湖南科技大学学报(自然科学版), 2001, 16(4): 81-83 |
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| 作者姓名： | 周少武 张志飞 谭文 刘祖润 |
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| 作者单位： | 湘潭工学院信息与电气工程系, |
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| 基金项目： | 湖南省自然科学基金资助项目(00JJY20113),湖南省教育厅高校科研基金资助项目(B30012) |
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| 摘 要： | 应用矩阵的相似变换原理和矩阵指数特性,通过估计微分方程的解,导出了一类具有时变时滞的大系统的时滞无关稳定性条件.其结论仅需时滞具有正数界,克服了已有文献结论中的对时滞的苛刻的约束条件,并给出了一个数值实例,实例仿真结果表明,所得结果优于现有文献的结果.参10.
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| 关 键 词： | 时滞无关 大系统 微分方程 矩阵指数 |
| 文章编号： | 1000-9930(2001)04-0081-03 |
| 修稿时间： | 2001-04-12 |
A new sufficient condition for stability of large-scale systems with time-delay |
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| ZHOU Shao-wu ,ZHANG Zhi-fei ,TAN Wen ,LIU Zu-run. A new sufficient condition for stability of large-scale systems with time-delay[J]. Journal of Hunan University of Science & Technology(Natural Science Editon), 2001, 16(4): 81-83 |
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| Authors: | ZHOU Shao-wu ZHANG Zhi-fei TAN Wen LIU Zu-run |
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| Affiliation: | ZHOU Shao-wu 1,ZHANG Zhi-fei 2,TAN Wen 2,LIU Zu-run 2 |
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| Abstract: | In this paper a new delay-independent stability criterion for a class of linear large-scale time-varying delay systems is deduced by estimating the solution of differential equation.The similar transformation technique and matrix exponential properties are used to develop the stability criterion.A numeric example is given to illustrate our result,and some comparisons with previous results in the literature are made finally,which show that our result is better.10refs. |
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| Keywords: | delay-independent large-scale system differential equation matrix exponential |
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