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IMA Journal of Mathematical Control and Information Advance Access originally published online on November 1, 2005
IMA Journal of Mathematical Control and Information 2006 23(4):433-445; doi:10.1093/imamci/dni065
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Optimal boundary control problem for n x n infinite-order parabolic lag system

H. A. El-Saify**

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

** Email: haelsaify{at}yahoo.com

In this paper, we study the linear quadratic optimal boundary control problem for n x n coupled system of infinite-order parabolic partial differential equation, in which time-varying lags appear in the state equation and in the Neumann boundary condition simultaneously. By Lions scheme, necessary and sufficient condition of optimality for the Neumann problem with quadratic functional and constraint control is derived. Finally, several mathematical examples for derived optimality conditions are presented.

Keywords: n x n parabolic lag system; mixed Neumann condition; operator of infinite order; control problem; optimality condition.

Received on 10 September 2004.


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