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

Ravinder Katta, G.D. Reddy and N. Sukavanam

Applied Mathematics and Computation, 2018, vol. 317, issue C, 252-263

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.

Keywords: Approximately controllable system; Ill posed problem; Tikhonov regularization; Weighted Tikhonov regularization; Regularized control (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:317:y:2018:i:c:p:252-263

DOI: 10.1016/j.amc.2017.08.012

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