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| 线性控制系统多面体区域的生存性判别 | |
| 引用本文： | 高岩. 线性控制系统多面体区域的生存性判别[J]. 控制与决策, 2016, 31(9): 1720-1722 |
| 作者姓名： | 高岩 |
| 作者单位： | 上海理工大学管理学院，上海200093. |
| 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). |
| 摘 要： | 利用非光滑分析, 讨论线性控制系统多面体区域的生存性判别. 对于有界多面体(利用有限点集的凸包来表示), 其生存性判别只需检验其在极点处是否满足生存性条件, 去掉了以往对输入集合为多面体的要求, 这种生存性判别方法简便易行. 最后利用所给出的生存性条件讨论了生存性设计. |
| 关 键 词： | 线性控制系统|生存性|多面体|非光滑分析 |
| 收稿时间： | 2015-07-22 |
| 修稿时间： | 2015-11-10 |
Determining viability of polytopic set for linear control system |
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| GAO Yan. Determining viability of polytopic set for linear control system[J]. Control and Decision, 2016, 31(9): 1720-1722 | |
| Authors: | GAO Yan |
| Abstract: | A viability criterion of a polytopic set for a linear control system is discussed by using nonsmooth analysis. It is shown that, determining the viability of a polytopic set, which is expressed by a convex hull of a finitely many points, can be transformed into verifying the viability criteria at vertices without the assumption that the input set is an polytope, which is needed in existing criteria. This method of determining the viability is easy to be complemented. Finally, the viable design is discussed by using the proposed viability criterion. |
| Keywords: | linear control system|viability|polytope|nonsmooth analysis |
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