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

Optimal control problem for Stokes system: Asymptotic analysis via unfolding method in a perforated domain