A Generalization of Mixed Problems with an Application to Multiobjective Optimal Control

Naïla Hayek ()
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Naïla Hayek: Université Paris 2 Panthéon-Assas

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 3, No 4, 498-515

Abstract: Abstract This paper generalizes to multiobjective optimization the notion of mixed problems as Philippe Michel calls it for single-objective optimization. This notion is then applied to a multiobjective control problem under constraints in the discrete time framework to obtain strong Pontryagin maximum principles in the finite-horizon case. The infinite-horizon case is also treated with conditions ensuring that the multipliers associated to the objective functions are not all zero.

Keywords: Multiobjective optimization; Weak Pareto optimality; Discrete time optimal control; Infinite horizon (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-011-9850-2

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