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Time-optimal control problem for parabolic equations with control constraints and infinite number of variables
Journal article   Peer reviewed

Time-optimal control problem for parabolic equations with control constraints and infinite number of variables

G. M. Bahaa
IMA journal of mathematical control and information, Vol.22(3), pp.364-375
01/09/2005
DOI: https://doi.org/10.1093/imamci/dni033

Abstract

Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
A time optimal control problem is replaced by an equivalent one with a performance index in the form of integral form. Constraints on controls are assumed. To obtain the optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin theorem given byWalczak (1984, Acta Universitatis Lodziensis Folia Mathematica, 187-196; 1984, J. Optim. Theor. Appl., 42, 561-582) was applied.

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