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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10073
Title: Computation of Control for Linear Approximately Controllable System Using Tikhonov Regularization
Authors: Nair M.T.
Sukavanam, Nagarajan
Katta R.
Published in: Numerical Functional Analysis and Optimization
Abstract: Computation of control for a controlled partial differential equation is a difficult task, especially when the control problem is ill posed. In this paper, we propose a method of computing the regularized control of a diffusion control system using Tikhonov regularization approach when the system is approximately controllable. The method proposed here for choosing regularization parameter guarantees the convergence of the proposed control. © 2017 Taylor & Francis.
Citation: Numerical Functional Analysis and Optimization (2018), 39(3): 308-321
URI: https://doi.org/10.1080/01630563.2017.1361440
http://repository.iitr.ac.in/handle/123456789/10073
Issue Date: 2018
Publisher: Taylor and Francis Inc.
Keywords: Approximate controllability
Ill-posed problem
Tikhonov regularization
ISSN: 1630563
Author Scopus IDs: 7202870811
12804420600
56513724100
Author Affiliations: Nair, M.T., Department of Mathematics, Indian Institute of Technology Madras, Chennai, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Katta, R., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Funding Details: One of the authors, Ravinder Katta, gratefully acknowledges the financial support of the University Grants Commission (UGC), New Delhi, India for his research work.
Corresponding Author: Katta, R.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: kravidma@iitr.ac.in
Appears in Collections:Journal Publications [MA]

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