Hernández-Santamaría V., de Teresa L. Robust Stackelberg controllability for linear and semilinear heat equations. Evolution Equations & Control Theory AIMS, Vol.7, No. 2 (2018), pp.247-273, DOI:10.3934/eect.2018012
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.