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- W4383750450 abstract "Within the framework of finite-horizon optimal control problems involving nonlinear, input-affine dynamics, a connection between the costate variable and generating functions of the annihilating codistribution of the underlying Hamiltonian vector field is established. It is shown that the inverse mapping of any collection of n such generating functions coincides, for any time and for a certain constant vector, with the costate of the optimal process. In particular, the corresponding constant vector is determined by solving a parameterized boundary value problem in the state space of the original plant alone, rather than in the extended state/costate space of the Hamiltonian dynamics." @default.
- W4383750450 created "2023-07-11" @default.
- W4383750450 creator A5018597173 @default.
- W4383750450 date "2023-01-01" @default.
- W4383750450 modified "2023-09-27" @default.
- W4383750450 title "On the connection between costate and the annihilator of the Hamiltonian vector field in optimal control problems" @default.
- W4383750450 doi "https://doi.org/10.1109/tac.2023.3293720" @default.
- W4383750450 hasPublicationYear "2023" @default.
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