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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