Optimal boundary control for infinite variables parabolic systems with time lags given in integral form

Document Type : Regular Paper

Authors

1 Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jaddah, Saudi Arabia

Abstract

In this paper, the optimal boundary control problem for distributed parabolic systems, involving second order
operator with an infinite number of variables, in which constant lags appear in the integral form both in the state equations and in the boundary condition is considered. Some specific properties of the optimal control are
discussed.

Keywords