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Journal Articles Discrete and Continuous Dynamical Systems - Series B Year : 2019

Necessary optimality conditions for average cost minimization problems

Abstract

Control systems involving unknown parameters appear a natural framework for applications in which the model design has to take into account various uncertainties. In these circumstances the performance criterion can be given in terms of an average cost, providing a paradigm which differs from the more traditional minimax or robust optimization criteria. In this paper, we provide necessary optimality conditions for a nonrestrictive class of optimal control problems in which unknown parameters intervene in the dynamics, the cost function and the right end-point constraint. An important feature of our results is that we allow the unknown parameters belonging to a mere complete separable metric space (not necessarily compact).

Dates and versions

hal-04315853 , version 1 (30-11-2023)

Identifiers

Cite

Piernicola Bettiol, Nathalie Khalil. Necessary optimality conditions for average cost minimization problems. Discrete and Continuous Dynamical Systems - Series B, 2019, 24 (5), pp.2093-2124. ⟨10.3934/dcdsb.2019086⟩. ⟨hal-04315853⟩
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