Hernández-Santamaría V., de Teresa L., Poznyak A. Hierarchic control for a coupled parabolic system . Port. Math. Vol. 73 (2016), pp. 115-137, DOI: 10.4171/PM/1979
Abstract: In this paper we study a Stackelberg–Nash strategy to control systems of coupled linear parabolic partial differential equations. We assume that we can act on the system through several controls called followers, intended to solve a Nash multi-objective equilibrium, and a single leader control satisfying a null controllability objective. We obtain the existence and uniqueness of the Nash equilibrium, its characterization and the optimal leader control satisfying the null controllability problem.
