Optimal control problems with higher order ODEs constraints
نویسندگان
چکیده
In this paper, the analysis is focused on single-time optimal control problems based on simple integral cost functionals from Lagrangians whose order is smaller than the higher order of ODEs constraints. The basic topics of our theory include: variational differential systems, adjoint differential systems, Legendrian duality, single-time maximum principle. The main original results refer to the form of adjoint differential systems and the simplified single-time maximum principle, based on higher order ingredients. For completeness, we added Euler-Lagrange and Hamilton equations of higher order obtained from the maximum principle. M.S.C. 2010: 49K15, 49J15, 34H05, 65K10, 90C46.
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