The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations

Jamil Amir Al-hawasy

Abstract


In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a couple linear parabolic partial differential equations for given (fixed) continuous classical boundary control vector. The proof of the existence theorem of a continuous classical optimal boundary control vector associated with the couple linear parabolic is given. The Frechet derivative is derived; finally we give a proof of the necessary conditions for optimality (boundary control) of the above problem.

Keywords


boundary optimal control, couple linear parabolic partial differential equations.

Full Text:

PDF


DOI: http://dx.doi.org/10.23851/mjs.v29i1.159

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Al-Mustansiriyah Journal of Science

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.


Copyright (c) 2018 by Al-Mustansiriyah Journal of Science
ISSN: 1814-635X (Print), ISSN: 2521-3520 (online)