Artículo
New results on the Stackelberg-Nash exact control of linear parabolic equations
Autor/es | Dias Araruna, Fágner
Fernández Cara, Enrique Guerrero Rodríguez, Sergio Cardoso Santos, Mauricio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-06 |
Fecha de depósito | 2017-06-20 |
Publicado en |
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Resumen | This 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, ... This 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. |
Identificador del proyecto | MTM2010-15592 |
Cita | Dias 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. |
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