Computation of Control for Linear Approximately Controllable System Using Tikhonov Regularization

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.

KEYWORDS:

• Approximate controllability
• Ill-posed problem
• Tikhonov regularization

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 47A52
• 93B05