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Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems

Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Symmetry 2019, 11(11), 1380; https://doi.org/10.3390/sym11111380
Received: 11 October 2019 / Revised: 30 October 2019 / Accepted: 3 November 2019 / Published: 7 November 2019
In this paper, we focus on a new class of optimal control problems governed by a simple integral cost functional and isoperimetric-type constraints (constant level sets of some simple integral functionals). By using the notions of a variational differential system and adjoint equation, necessary optimality conditions are established for a feasible solution in the considered optimization problem. More precisely, under simplified hypotheses and using a modified Legendrian duality, we establish a maximum principle for the considered optimization problem. View Full-Text
Keywords: isoperimetric-type constraints; optimal control; control Hamiltonian; variational differential system; symmetry; adjoint equation isoperimetric-type constraints; optimal control; control Hamiltonian; variational differential system; symmetry; adjoint equation
MDPI and ACS Style

Urziceanu, S.-A. Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems. Symmetry 2019, 11, 1380.

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