A Controllability Problem for a System Governed by the Heat Equation |
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| Authors: | WILSON, D. A. RUBIO, J. E. |
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| Affiliation: | Department of Electrical and Electronic Engineering, University of Leeds
Department of Mathematics, University of Leeds |
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| Abstract: | A control system described by the one-dimensional heat equationwith a boundary control is considered. The problem of findinga control which drives the system, in finite time T, to a constantfinal temperature distribution is discussed. A simple boundfor the norm of the control in terms of the final time T isderived, and a numerical example is presented. |
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