| 多面体不确定线性系统的鲁棒D-稳定研究 |
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| 引用本文： | 仇计清,张金会,高志峰,杨洪玖.多面体不确定线性系统的鲁棒D-稳定研究[J].河北科技大学学报,2006,27(2):119-121. |
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| 作者姓名： | 仇计清 张金会 高志峰 杨洪玖 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 摘 要： | 针对一类多面体不确定线性系统给出一种新的鲁棒D-稳定的充分条件,该条件可以由一族线性矩阵不等式(LM Is)的可行解得到,而这族LM Is可以由多面体的顶点描述。通过引入参数相关Lyapunov函数使得该条件的保守性降低,与其他条件相比这个条件具有更广泛的适用性,推广并改进了现有成果。
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| 关 键 词： | 鲁棒D-稳定 线性矩阵不等式(LMIs) 参数相关Lyapunov函数 多面体不确定 |
| 文章编号： | 1008-1542(2006)02-0119-03 |
| 收稿时间： | 2005/5/30 0:00:00 |
| 修稿时间： | 2005年5月30日 |
Study on robust D-stability of polytopic uncertain systems |
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| QIU Ji-qing,ZHANG Jin-hui,GAO Zhi-feng and YANG Hong-jiu.Study on robust D-stability of polytopic uncertain systems[J].Journal of Hebei University of Science and Technology,2006,27(2):119-121. |
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| Authors: | QIU Ji-qing ZHANG Jin-hui GAO Zhi-feng and YANG Hong-jiu |
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| Institution: | College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China |
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| Abstract: | In this paper,a new sufficient LMIs condition for the robust D-stability is established with respect to polytopic uncertain systems.The robust stability of the uncertain systems can be verified by means of the feasibility of a set of LMIs described only in terms of the vertices of the polytopic domain.This approach is less conservative than quadratic stability by using a parameter-dependent Lyapunov function,and extends the results of the related references. |
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| Keywords: | robust D-stability linear matrix inequality(LMIs) parameter-dependent Lyapunov function polytopic uncertainty |
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