| 一维抛物型系统切换控制下的近似能控性 |
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| 引用本文： | 张凤岩,贾超华.一维抛物型系统切换控制下的近似能控性[J].系统科学与数学,2011,31(8). |
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| 作者姓名： | 张凤岩 贾超华 |
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| 作者单位： | 1. 北京航空航天大学数学与系统科学学院,北京,100191
2. 北京航空航天大学数学与系统科学学院,北京100191;“数学、信息与行为”教育部重点实验室,北京100191 |
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| 基金项目： | 国家自然科学基金(10626002); 中央高校基本科研业务费(YWF-10-01-A15)资助项目 |
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| 摘 要： | 考虑一维热传导方程在两个边界控制切换作用情形下的近似能控性.采用变分方法,通过某个二次泛函的极小值点构造合适的边界控制函数,使其满足切换条件,而且使得系统是近似能控的.
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| 关 键 词： | 一维抛物型系统 近似能控性 切换控制 |
APPROXIMATE CONTROLLABILITY OF A ONE-DIMENSIONAL PARABOLIC SYSTEM UNDER SWITCHING CONTROL |
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| ZHANG Fengyan
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JIA Chaohua.APPROXIMATE CONTROLLABILITY OF A ONE-DIMENSIONAL PARABOLIC SYSTEM UNDER SWITCHING CONTROL[J].Journal of Systems Science and Mathematical Sciences,2011,31(8). |
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| Authors: | ZHANG Fengyan JIA Chaohua |
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| Institution: | ZHANG Fengyan (School of Mathematics and Systems Science,Beihang University,Beijing 100191) JIA Chaohua (School of Mathematics and Systems Science,Beijing 100191,LMIB of the Ministry of Education,Beijing 100191) |
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| Abstract: | This paper is concerned with the approximate controllability of one dimensional parabolic system under switching boundary controls.By the variational method,the two boundary controls satisfying the switching condition are constructed through the minimizers of certain quadratic functional to make the system approximately controllable. |
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| Keywords: | Parabolic system approximate controllability switching control |
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