Dias Araruna, FágnerFernández Cara, EnriqueGuerrero Rodríguez, SergioCardoso Santos, Mauricio2017-06-202017-06-202017-06Dias Araruna, F., Fernández Cara, E., Guerrero Rodríguez, S. y Cardoso Santos, M. (2017). New results on the Stackelberg-Nash exact control of linear parabolic equations. Systems & Control Letters, 104, 78-85.0167-6911http://hdl.handle.net/11441/61376This paper is concerned with Stackelberg-Nash strategies to control parabolic equations. We have one control, the leader, that is responsible for a null controllability property; additionally, we have a couple of controls, called the followers, that provides a Nash equilibrium for two cost functionals. This is a classical situation in many fields of science and, in mathematics, leads to a lot of interesting questions and open problems and possesses many applications. In the main result, we prove the existence of a leader such that the corresponding controlled system is driven to zero. This way, we improve some questions that were left open in previous works.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/ControllabilityStackelberg-Nash strategiesCarleman inequalitiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.sysconle.2017.03.009