Homogenization of periodic optimal control problems via multi-scale convergence

Kesavan, S. ; Rajesh, M. (1998) Homogenization of periodic optimal control problems via multi-scale convergence Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 108 (2). pp. 189-207. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/108/2/189-2...

Related URL: http://dx.doi.org/10.1007/BF02841552

Abstract

The aim of this paper is to provide an alternate treatment of the homogenization of an optimal control problem in the framework of two-scale (multi-scale) convergence in the periodic case. The main advantage of this method is that we are able to show the convergence of cost functionals directly without going through the adjoint equation. We use a corrector result for the solution of the state equation to achieve this.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Homogenization; Optimal Control; Multi-scale Convergence
ID Code:16354
Deposited On:15 Nov 2010 13:48
Last Modified:17 May 2016 01:07

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