Title: Steplike contrast structure in an elementary optimal control problem
Authors: Ni Min' Kan', M.G. Dmitriev
Journal title: Computational Mathematics and Mathematical Physics
Ni Min' Kan', M. G. Dmitriev, “Steplike contrast structure in an elementary optimal control problem”, Computational Mathematics and Mathematical Physics, 2010, 50:8, 1312–1323
For an elementary nonlinear optimal control problem with a scalar differential constraint and with a small parameter multiplying the derivative but without any constraints on the control, the possibility of emerging fast internal phase transitions in the optimal trajectory is shown as based on results concerning contrast structures in the theory of singularly perturbed boundary value problems.
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