Infinite-horizon multiobjective optimal control problems for bounded processes

Naïla Hayek

doi:10.3934/dcdss.2018064

Article Contents

2018, Volume 11, Issue 6: 1121-1141. Doi: 10.3934/dcdss.2018064

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Infinite-horizon multiobjective optimal control problems for bounded processes

Naïla Hayek^,

CRED EA 7321 Université Panthéon-Assas Paris 2, 12, Place du Panthéon, Paris, France

* Corresponding author
* Corresponding author

Received: August 31, 2016

Revised: August 31, 2016

Published: December 2018

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This paper studies multiobjective optimal control problems in the discrete time framework and in the infinite horizon case for bounded processes. The paper generalizes to the multiobjective case results obtained for single-objective optimal control problems in that framework. The dynamics are governed by difference equations. Necessary conditions of Pareto optimality are presented namely Pontryagin maximum principles in the strong form and in the weak form. Sufficient conditions are also provided. Other notions of Pareto optimality are defined when the infinite series do not necessarily converge and links with these unbounded cases are established.

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Mathematics Subject Classification: 90C29, 90C46, 93C55, 49K99.

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