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math.OC2024
Maximally Degenerate Floquet Structure and Possible Nonexistence of Optimal Control in a Pendulum Swing-Up Problem
Noboru Sakamoto
This paper studies an infinite-horizon optimal control problem for a pendulum with quadratic control cost via its associated Hamiltonian system. The problem is strongly degenerate,…
math.OC2022
Optimal Stabilization of Periodic Orbits: A Symplectic Geometry Approach
Fabian Beck, Noboru Sakamoto
In this contribution, the optimal stabilization problem of periodic orbits is studied via invariant manifold theory and symplectic geometry. The stable manifold theory for the opti…