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New results on the Stackelberg-Nash exact control of linear parabolic equations

 

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Opened Access New results on the Stackelberg-Nash exact control of linear parabolic equations
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Author: Dias Araruna, Fágner
Fernández Cara, Enrique
Guerrero Rodríguez, Sergio
Cardoso Santos, Mauricio
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2017-06
Published in: Systems & Control Letters, 104, 78-85.
Document type: Article
Abstract: 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.
Size: 405.3Kb
Format: PDF

URI: http://hdl.handle.net/11441/61376

DOI: 10.1016/j.sysconle.2017.03.009

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