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- W2143183724 abstract "Pontryagin's maximum principle reduces optimal control problems to the investigation of Hamiltonian systems of ordinary differential equations with discontinuous right-hand side. An optimal synthesis is the totality of solutions to this system with a fixed terminal (or initial) condition, which fill a region in the phase space one-to-one. In the construction of optimal synthesis, singular trajectories that go along the discontinuity surface N of the right-hand side of the Hamiltonian system of ordinary differential equations, are crucial. The aim of the paper is to prove that the system of singular trajectories makes up a Hamiltonian flow on a submanifold of N. In particular, it is proved that the flow of singular trajectories in the problem of control of the magnetized Lagrange top in a variable magnetic field is completely Liouville integrable and can be embedded in the flow of a smooth superintegrable Hamiltonian system in the ambient space. Bibliography: 17 titles." @default.
- W2143183724 created "2016-06-24" @default.
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- W2143183724 date "2014-03-31" @default.
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- W2143183724 title "The Hamiltonian property of the flow of singular trajectories" @default.
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- W2143183724 doi "https://doi.org/10.1070/sm2014v205n03abeh004382" @default.
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