4.6 Article

Local stability of solutions to a parametric multi-objective optimal control problem

Journal

OPTIMIZATION
Volume -, Issue -, Pages -

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2023.2192233

Keywords

Stability of solutions; parametric multi-objective optimal control problem; Pareto solution; Holder continuity; Lipschitz continuity

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This paper examines the local stability of solutions to a parametric multi-objective optimal control problem with constraints. By combining scalarization and non-scalarization methods, it is shown that if the unperturbed problem has a locally strong Pareto solution, then the Pareto solution set is locally Holder continuous at a reference parameter.
This paper studies local stability of solutions to a parametric multi-objective optimal control problem with constraints. By combining the scalarization method and non-scalarization methods, we show that if the unperturbed problem has a locally strong Pareto solution, then the Pareto solution set is locally Holder continuous at a reference parameter.

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