Asymptotic analysis of a boundary optimal control problem on a general branched structure

Aiyappan, S and Nandakumaran, AK and Sufian, Abu (2019) Asymptotic analysis of a boundary optimal control problem on a general branched structure. In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES .

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Abstract

We consider an optimal control problem posed on a domain with a highly oscillating smooth boundary where the controls are applied on the oscillating part of the boundary. There are many results on domains with oscillating boundaries where the oscillations are pillar-type (non-smooth) while the literature on smooth oscillating boundary is very few. In this article, we use appropriate scaling on the controls acting on the oscillating boundary leading to different limit control problems, namely, boundary optimal control and interior optimal control problem. In the last part of the article, we visualize the domains as a branched structure, and we introduce unfolding operators to get contributions from each level at every branch.

Item Type:	Journal Article
Publication:	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Publisher:	WILEY
Additional Information:	Copyright for this article belongs to Wiley
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	23 Jun 2021 11:02
Last Modified:	23 Jun 2021 11:02
URI:	http://eprints.iisc.ac.in/id/eprint/63370

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