Post-Pareto Analysis for multiobjective parabolic control systems

In this paper is presented the problem of optimizing a functional over a pareto control set associated with a convex multiobjective control problem in Hilbert spaces, namely parabolic system. This approach generalizes for this setting some results obtained in finite dimensions. Some examples are pre...

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Bibliographic Details
Main Author: Bonnel, Henri
Format: Journal Article
Published: 2013
Online Access:http://hdl.handle.net/20.500.11937/39338
Description
Summary:In this paper is presented the problem of optimizing a functional over a pareto control set associated with a convex multiobjective control problem in Hilbert spaces, namely parabolic system. This approach generalizes for this setting some results obtained in finite dimensions. Some examples are presented. General optimality results are obtained, and a special attention is paid to the linear-quadratic multi objective parabolic system when is possible to get explicit optimality conditions.