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Coefficient control for a distributed parabolic system

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  • Humeau, J.P.
  • Grolleau, M.

Abstract

A simulation study for the optimal control of a system described by a set of two coupled parabolic equations is presented. The control is a function of time and appears as a coefficient in the state equation. The optimality conditions lead to a two points boundary value problem which is solved by an iterative ‘steepest descent method“. Numerical results related to different criterions are presented.

Suggested Citation

  • Humeau, J.P. & Grolleau, M., 1985. "Coefficient control for a distributed parabolic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 27(1), pages 1-17.
    • Handle: RePEc:eee:matcom:v:27:y:1985:i:1:p:1-17
    DOI: 10.1016/0378-4754(85)90010-2
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    References listed on IDEAS

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    1. Humeau, J.P. & Grolleau, M., 1981. "Computer simulation of a parametric optimization problem for an industrial process," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(3), pages 280-284.
    2. Keramidas, G.A. & Papatheodorou, T.S., 1983. "On error estimates of the numerical solution of the convection-diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(1), pages 1-9.
    3. Wysocki, Marian, 1983. "Application of orthogonal collocation to simulation and control of first order hyperbolic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(4), pages 335-345.
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