| 引用本文: | 吕剑峰,高岩.切换系统多面体区域的生存性判别[J].控制理论与应用,2017,34(1):120~124.[点击复制] |
| LV Jian-feng,GAO Yan.Determining the viability of a polytope for a switched system[J].Control Theory and Technology,2017,34(1):120~124.[点击复制] |
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| 切换系统多面体区域的生存性判别 |
| Determining the viability of a polytope for a switched system |
| 摘要点击 2667 全文点击 2219 投稿时间：2016-05-03 修订日期：2016-12-22 |
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| DOI编号 10.7641/CTA.2017.60276 |
| 2017,34(1):120-124 |
| 中文关键词 切换系统 生存性 多面体 切换控制 非光滑分析 |
| 英文关键词 switched system viability polytope switching control nonsmooth analysis |
| 基金项目 国家自然科学基金项目(11171221), 教育部博士点基金项目(20123120110004), 内蒙古科技大学创新基金(2015XYPYL10, 2015XYPYL11)资助. |
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| 中文摘要 |
| 本文研究了切换系统关于多面体区域的生存性判别问题. 考虑多面体由有限点集凸包来表示, 利用非光滑
分析理论, 得到一个切换系统生存性的充分条件. 该条件只需检验在极点处是否满足特定条件, 而不需要对每个边
界点进行验证. 其优点在于将生存性的判别转化为向量内积与切锥的计算. 这种生存性判别方法简便易行. 最后通
过实例阐述了算法的有效性. |
| 英文摘要 |
| This paper is devoted to the viability criterion for a polytope under a switched system. A sufficient viability
criterion for a polytope, which is expressed by a convex hull of finite number of points, is proposed by using nonsmooth
analysis. Based on this criterion, instead of all boundary points, just several vertices are needed to be verified whether
satisfying some conditions. The advantage of the proposed methods is that determining the viability is transformed into
computing vectors inner product and tangents. This method of determining the viability is easy to be complemented.
Finally, two examples are listed to illustrate the effectiveness of main results of this paper. |