  This article's subject matter is the study of the asymptotic analysis of the
optimal control problem (OCP) constrained by the stationary Stokes equations in
a periodically perforated domain. We subject the interior region of it with
distributive controls. The Stokes operator considered involves the oscillating
coefficients for the state equations. We characterize the optimal control and,
upon employing the method of periodic unfolding, establish the convergence of
the solutions of the considered OCP to the solutions of the limit OCP governed
by stationary Stokes equations over a non-perforated domain. The convergence of
the cost functional is also established.

Optimization and Control