| 一类时滞系统时滞相关型稳定性判据的改进 |
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| 引用本文： | 秦北北,姜偕富,陈妍,俞洋.一类时滞系统时滞相关型稳定性判据的改进[J].杭州电子科技大学学报,2014(5):38-42. |
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| 作者姓名： | 秦北北 姜偕富 陈妍 俞洋 |
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| 作者单位： | 杭州电子科技大学自动化研究所,浙江杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目，浙江省自然科学基金重点资助项目 |
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| 摘 要： | 研究了一类时滞系统时滞相关型稳定性判据的改进问题。用适当的界定方法解决了现有的一些文献在推导稳定性判据的过程中存在的问题,以线性矩阵不等式形式给出了一个具有较小保守性的时滞相关型稳定性判据。最后利用数值示例验证了所给出的稳定性判据的有效性。
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| 关 键 词： | 时变时滞 Lyapunov泛函 线性矩阵不等式 稳定性 |
An Improved Delay-dependent Stability Criterion for Systems with Time-varying Delay |
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| Qin Beibei,Jiang Xiefu,Chen Yan,Yu Yang.An Improved Delay-dependent Stability Criterion for Systems with Time-varying Delay[J].Journal of Hangzhou Dianzi University,2014(5):38-42. |
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| Authors: | Qin Beibei Jiang Xiefu Chen Yan Yu Yang |
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| Affiliation: | (Institute of Automation, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China) |
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| Abstract: | This paper investigates a problem of improved delay-dependent stability criterion. By using an appropriate bounding technology,the problem in existing papers in derivation of stability criterion is solved. A less conservative delay-dependent stability criterion is obtained in the form of linear matrix inequalities（LMIs）. A numerical example is given to demonstrate effectiveness of the stability criterion. |
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| Keywords: | time-varying delay Lyapunov functional linear matrix inequality stability |
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