| 多面体上彷射系统可达性问题研究 |
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| 引用本文： | 吴敏,颜钢锋,林志赟.多面体上彷射系统可达性问题研究[J].自动化学报,2009,35(12):1528-1533. |
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| 作者姓名： | 吴敏 颜钢锋 林志赟 |
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| 作者单位： | 1.Asus Intelligent Systems Laboratory, Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, P.R.China |
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| 摘 要： | 研究n维多面体上自治仿射系统的可达性问题. 目的在于得到多面体上最大正不变集和每个极大面的反向可达集(吸引域). 研究最大稳定不变仿射子空间, 并给出不变集和吸引域的性质, 最后通过分割算法确定两者的边界.
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| 关 键 词： | 可达性 多面体 不变集 吸引域 分段仿射混杂系统 |
| 收稿时间： | 2008-6-25 |
| 修稿时间： | 2008-12-3 |
Reachability of Affine Systems on Polytopes |
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| WU Min,YAN Gang-Feng,LIN Zhi-Yun.Reachability of Affine Systems on Polytopes[J].Acta Automatica Sinica,2009,35(12):1528-1533. |
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| Authors: | WU Min YAN Gang-Feng LIN Zhi-Yun |
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| Affiliation: | 1.Asus Intelligent Systems Laboratory, Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, P.R.China |
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| Abstract: | The paper studies reachability problem of autonomous affine systems on n-dimensional polytopes. Our goal is to obtain both the largest positive invariant set in the polytope and the backward reachable set (the attraction domain) of each facet. Special attention is paid to the largest stable invariant affine subspace. After presenting several useful properties of those sets, a partition procedure is given to determine the largest positive invariant set in the polytope and all the attraction domains of facets. |
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| Keywords: | Reachability polytope invariant set attraction domain piecewise affine hybrid systems |
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