Banach空间中线性系统精确零可控性 |
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引用本文: | 陈彭年.Banach空间中线性系统精确零可控性[J].中国计量学院学报,2002,13(1):27-31. |
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作者姓名: | 陈彭年 |
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作者单位: | 中国计量学院数学组,浙江杭州,310034 |
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基金项目: | 本文得到国家攀登项目(970211017)的资助 |
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摘 要: | 本文研究了状态空间为一般 Banach空间的线性系统的精确零可控性问题 .首先建立了一个同对偶半群有关的映射的可测性 .然后利用此可测性和 Banach空间中闭凸集的强分离定理导出了精确零可控性的充分必要条件
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关 键 词: | 精确零可控性 Banach空间 半群 |
文章编号: | 1004-1540(2002)01-0027-05 |
修稿时间: | 2002年1月24日 |
Exact null controllability of linear systems in Banach spaces |
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Abstract: | The problem of exact null controllability of linear systems in Banach spaces is considered. First, measurability of the mappings which are related to the dual semigroup of the linear system is established. Then a necessary and sufficient condition for the exact null controllability of the linear system is derived by means of the measurability and the strong separation theorem of closed convex sets in Banach spaces. |
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Keywords: | Exact null controllability Banach spaces semigroups |
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