Exact Local Controllability of a One-Control Reaction-Diffusion System |
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| Authors: | G Wang L Zhang |
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| Institution: | (1) Department of Mathematics, Wuhan University and Center for Optimal Control and Discrete Mathematics, Huazhong Normal University, Wuhan, PRC.;(2) Department of Mathematics, Wuhan University, Wuhan, PRC. |
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| Abstract: | This work concerns the controllability of some parabolic systems with the control acting in one equation. The exact local controllability of a reaction-diffusion system with one control and the null controllability of a class of linear parabolic systems with one control are obtained. As an application, the existence of a time-optimal control for a reaction-diffusion system with one control is proved.Communicated by D. A. CarlsonThis work was supported by the New Century Excellent Teachers Plan of the Ministry of National Education of China, by the Key Laboratory- Optimal Control and Discrete Mathematics of Hubei Province, and by the National Science Foundation of China. |
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| Keywords: | Null controllability exact local controllability global Carleman inequality time-optimal control |
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