Time-optimal control problem for parabolic equations with control constraints and infinite number of variables |
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| Authors: | Bahaa G. |
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| Affiliation: | Mathematics Department, Faculty of Science, Branch of Cairo University, Beni-Suef, Egypt |
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| Abstract: | A time optimal control problem for parabolic equations withan infinite number of variables is considered. A time optimalcontrol problem is replaced by an equivalent one with a performanceindex in the form of integral form. Constraints on controlsare assumed. To obtain the optimality conditions for the Neumannproblem, the generalization of the DubovitskiiMilyutintheorem given by Walczak (1984, Acta Universitatis LodziensisFolia Mathematica, 187196; 1984, J. Optim. Theor. Appl.,42, 561582) was applied. |
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| Keywords: | time optimal control problems Neumann parabolic equations with an infinite number of variables Dubovitskii– Milyutin theorem conical approximations optimality conditions Weierstrass theorem. |
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