| 基于区间时变时滞模糊系统的稳定性分析 |
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| 引用本文： | 严顺行,姜偕富,杨性序,葛晓华. 基于区间时变时滞模糊系统的稳定性分析[J]. 科技通报, 2011, 27(2): 177-181,219 |
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| 作者姓名： | 严顺行 姜偕富 杨性序 葛晓华 |
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| 作者单位： | 杭州电子科技大学,自动化研究所,杭州310018 |
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| 基金项目： | 国家自然科学基金资助项目(60774058); 杭州电子科技大学科研启动基金(KYS041507020) |
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| 摘 要： | 考虑了区间时变时滞模糊系统的稳定性问题.利用T-S模糊模型对模糊系统进行了研究,利用线性矩阵不等式的形式给出了此类模糊系统在时滞相关意义下保守性更小的稳定性判据.由于加入了自由矩阵,所得结果保守性更小.并且给出了一个数值例子说明了所得稳定性判据的有效性.
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| 关 键 词： | 模糊 稳定性 T-S模型 线性矩阵不等式 |
On Stability Analysis of Fuzzy Systems with Interval Time-varying Delay |
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| YAN Shunhang,JIANG Xiefu,YANG Xingxu,GE Xiaohua. On Stability Analysis of Fuzzy Systems with Interval Time-varying Delay[J]. Bulletin of Science and Technology, 2011, 27(2): 177-181,219 |
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| Authors: | YAN Shunhang JIANG Xiefu YANG Xingxu GE Xiaohua |
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| Affiliation: | YAN Shunhang,JIANG Xiefu,YANG Xingxu,GE Xiaohua(School of Automation Hangzhou Dianzi University,Hangzhou 310018,China) |
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| Abstract: | This paper is concerned with the problem of the stability of fuzzy systems with interval time-varying delay.The Takagi-Sugeno(T-S) fuzzy model is introduced to approximate the fuzzy systems.A less conservative delay-dependent stability criterion of fuzzy systems is given in the form of linear matrix inequalities.Some free-weighting matrices are introduced to get a less conservative stability criterion.A numerical example is also given to show the effectiveness of the proposed stability criterion. |
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| Keywords: | fuzzy stability Takagi-Sugeno(TvS) model linear matrix inequality(LMI) |
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