On stationarity conditions in an optimal control problem with a simple contact with the phase boundary |
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Authors: | A V Dmitruk I A Samylovskii |
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Institution: | 1.Department of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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Abstract: | A certain class of optimal control problems with a one-dimensional phase constraint is considered. When a trajectory contacts the phase boundary on an interval, we employ a special procedure (two-stage variation) to obtain optimality conditions in the Gamkrelidze form and then in the Dubovitskii–Milyutin form, including the sign definiteness property measure density and its jumps at junction points. |
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