New results on the Stackelberg–Nash exact control of linear parabolic equations
| Autor: | F. D. Araruna, Enrique Fernández-Cara, Mauricio C. Santos, Sergio Guerrero |
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| Rok vydání: | 2017 |
| Předmět: |
Property (philosophy)
General Computer Science Mechanical Engineering 010102 general mathematics Null (mathematics) 01 natural sciences Parabolic partial differential equation Zero (linguistics) 010101 applied mathematics Controllability symbols.namesake Control and Systems Engineering Nash equilibrium symbols Stackelberg competition 0101 mathematics Electrical and Electronic Engineering Control (linguistics) Mathematical economics Mathematics |
| Zdroj: | Systems & Control Letters. 104:78-85 |
| ISSN: | 0167-6911 |
| DOI: | 10.1016/j.sysconle.2017.03.009 |
| Popis: | This paper is concerned with Stackelberg–Nashstrategies 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. |
| Databáze: | OpenAIRE |
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