ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Time-Optimal Control Problem for Infnite Order Parabolic Equations with Control Constraints


G. M. Bahaa

Mathematics Department,
Faculty of Science,
Beni-Suef University, Beni- Suef, Egypt


A time optimal control problem for infnite order parabolic equations is considered. 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 by Walczak in Refs.[41,42] was applied.

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