Exact Local Controllability of a One-Control Reaction-Diffusion System

G. Wang and L. Zhang
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G. Wang: Wuhan University and Center for Optimal Control and Discrete Mathematics, Huazhong Normal University
L. Zhang: Wuhan University

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 3, No 9, 453-467

Abstract: 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.

Keywords: Null controllability; exact local controllability; global Carleman inequality; time-optimal control (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9161-1

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