| 一类边界控制半线性抛物型系统的逼近能控性 |
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| 引用本文： | 李勇.一类边界控制半线性抛物型系统的逼近能控性[J].系统科学与数学,1996,16(3):235-241. |
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| 作者姓名： | 李勇 |
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| 作者单位： | 中国科学院系统科学研究所，山东大学数学系，北京控制工程研究所 |
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| 摘 要： | 本文考虑一类Ｄｉｒｉｃｈｌｅｔ型边界控制半线性抛物型系统，应用半群理论和非线性分析的方法，证明了系统解映射的连续性，给出了系统逼近能控的一个充分条件．对于Ｎｅｕｍａｎｎ型边界控制或混合型边界控制的半线性抛物型系统，可以得到类似的结果．
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| 关 键 词： | 逼近能控性 边界控制 半线性抛物型系统 |
APPROXIMATE CONTROLLABILITY FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS WITH A BOUNDARY CONTROL |
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| Li Yong,Zhou Hongxing.APPROXIMATE CONTROLLABILITY FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS WITH A BOUNDARY CONTROL[J].Journal of Systems Science and Mathematical Sciences,1996,16(3):235-241. |
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| Authors: | Li Yong Zhou Hongxing |
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| Institution: | (1)Institute of Systems Science,Academia Sinica,Beijing 100080;(2)Department of Mathematics,Shandong University,Jinan 250100 |
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| Abstract: | in this paper,a class of semilinear parabolic systems with a Dirichlet boundary control is considered.It is proved that the solution mapping of the boundary control system is continous by the semigroup theory and nonlinear analysis methods.A kind of sufficient condition for the approximate controllability of the semilinear parabolic control system is given.The result could be generalized to the semilinear parabolic systems with a Neumann boundary control and to other cases. |
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| Keywords: | Approximate controllability boundary control semilinear parabolic systems |
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