Computation of Control for Linear Approximately Controllable System Using Tikhonov Regularization. (17th February 2018)

• Record Type: Journal Article
• Authors: Nair, M. Thamban; Sukavanam, N.; Katta, Ravinder
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 3(2018)
• Page Start: 308
• Page End: 321
• Publication Date: 2018-02-17
• Subjects: Approximate controllability -- Ill-posed problem -- Tikhonov regularization; 47A52 -- 93B05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1361440
• Languages: English
• ISSNs: 0163-0563

Abstract

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.