Computation of control for linear approximately controllable system using weighted Tikhonov regularization

Katta, Ravinder and Reddy, G.D. and Sukavanam, N. (2018) Computation of control for linear approximately controllable system using weighted Tikhonov regularization. Applied Mathematics and Computation, 317. pp. 252-263. ISSN 0096-3003

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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.

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IITH Creators:	IITH Creators ORCiD
Item Type:	Article
Uncontrolled Keywords:	Approximately controllable system, Ill posed problem, Regularized control, Tikhonov regularization, Weighted Tikhonov regularization
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	09 Oct 2017 07:12
Last Modified:	09 Oct 2017 07:12
URI:	http://raiithold.iith.ac.in/id/eprint/3606
Publisher URL:	https://doi.org/10.1016/j.amc.2017.08.012
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0096-3003/
Related URLs:	Google Scholar

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