Post-Pareto Analysis for multiobjective parabolic control systems

Bonnel, Henri

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Authors

Bonnel, Henri

Date

2013

Type

Journal Article

Metadata

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Citation

Bonnel, H. 2013. Post-Pareto Analysis for multiobjective parabolic control systems. Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications. 5 (1-2): pp. 13-34.

Source Title

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications

ISSN

2066-5997

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/39338

Collection

Curtin Research Publications

Abstract

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.