Reciprocal Optimal Control Problems and the Associated Pareto Frontier

L. Grosset and B. Viscolani
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L. Grosset: University of Padova
B. Viscolani: University of Padova

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 1, No 7, 113-123

Abstract: Abstract It is well known that, if a control is Pareto optimal for a multiobjective optimal control problem, then it satisfies the necessary conditions of an optimal control problem with isoperimetric constraints. We introduce a set of sufficient conditions reversing that implication. Thus, we study some properties of the isoperimetric problems and their applications to the analysis of economic models.

Keywords: Optimal control; isoperimetric constraints; multiobjective programming; Pareto optimality (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-006-9089-5

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