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Title: Computation of control for linear approximately controllable system using weighted Tikhonov regularization
Authors: Katta R.
Reddy G.D.
Sukavanam, Nagarajan
Published in: Applied Mathematics and Computation
Abstract: Computing steering control for an approximately controllable linear system for a given target state is an ill-posed problem. We use a weighted Tikhonov regularization method and compute the regularized control. It is proved that the target state corresponding to the regularized control is close to the actual state to be attained. We also obtained error estimates and convergence rates involved in the regularization procedure using both the a priori and a posteriori parameter choice rule. Theory is substantiated with numerical experiments. © 2017 Elsevier Inc.
Citation: Applied Mathematics and Computation (2018), 317(): 252-263
Issue Date: 2018
Publisher: Elsevier Inc.
Keywords: Approximately controllable system
Ill posed problem
Regularized control
Tikhonov regularization
Weighted Tikhonov regularization
ISSN: 963003
Author Scopus IDs: 56513724100
Author Affiliations: Katta, R., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Reddy, G.D., Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Kandi, SangareddyTelangana 502285, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Funding Details: The authors are extremely grateful to the anonymous reviewers for a very careful reading of the manuscript and making constructive comments and suggestions leading to a better presentation of the paper. Ravinder Katta, gratefully acknowledges the financial support of the University Grants Commission (UGC), New Delhi, India (grant no. 6405-11-044 ) for his research work. Second author Dr. G. D. Reddy is thankful to the National Board for Higher Mathematics (NBHM), Mumbai, India (grant no. 2/40(56)/2015/R&D-II/12183 ) for the financial support during his post doctoral position.
Corresponding Author: Katta, R.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email:
Appears in Collections:Journal Publications [MA]

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