Exact Local Controllability of a One-Control Reaction-Diffusion System
Exact Local Controllability of a One-Control Reaction-Diffusion System
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DOI：
10.1007/s10957-006-9161-1
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发表时间：
2006-11
影响因子：
1.9
通讯作者：
GengshengBB Wang;L. Zhang
中科院分区：
文献类型：
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作者：
GengshengBB Wang;L. Zhang
研究了控制作用在一个方程中的抛物型系统的能控性。给出了一类单控制反应扩散系统的精确局部能控性和一类线性抛物系统单控制的零能控性。作为应用，证明了具有一个控制的反应扩散系统的时间最优控制的存在性。
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.