| 摘要: |
| 本文研究了连续非自治系统的有限时间稳定性问题. 从一维连续非自治系统的有限时间稳定性分析入手, 本文通过使用比较原理, 获得了一些判定一般n维连续非自治系统的有限时间稳定性的充分条件,这些条件改善了已有的连续非自治系统有限时间稳定性的判定条件. |
| 关键词: 连续非自治系统 有限时间稳定性 充分条件 |
| DOI： |
| 分类号:O175.13 |
| 基金项目:Supported by National Natural Science Foundation of China (61273215). |
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| SUFFICIENT CONDITIONS FOR FINITE-TIME STABILITY OF CONTINUOUS NON-AUTONOMOUS SYSTEMS |
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WANG Lei, CUI Ling-xia
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| In this paper, we study finite-time stability of continuous non-autonomous sys-tems. Through the finite-time stability analysis of continuous time-varying scalar systems and using the comparison principle, some sufficient conditions are presented for finite-time stability of general n-dimensional continuous non-autonomous systems, which improves the existing finite-time stability results for continuous non-autonomous systems. |
| Key words: finite-time stability continuous non-autonomous systems sufficient conditions |
