Full-Text PDF (162 KB) | Metadata | Table of Contents | PM summary
Published online: 2016-03-24
Hierarchic control for a coupled parabolic systemVíctor Hernández-Santamaría, Luz de Teresa and Alexander Poznyak (1) CINVESTAV del IPN, Mexico, D.F., Mexico
(2) Universidad Nacional Autonoma de México, México, D.F., Mexico
(3) CINVESTAV del IPN, Mexico, D.F., Mexico
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.
Keywords: Controllabilty, Stackelberg–Nash strategies, Carleman inequalities, parabolic systems
Hernández-Santamaría Víctor, de Teresa Luz, Poznyak Alexander: Hierarchic control for a coupled parabolic system. Port. Math. 73 (2016), 115-137. doi: 10.4171/PM/1979