GEOMETRIC ANALYSIS OF TIME VARIANT HAMILTONIAN CONTROL SYSTEMS

摘要

We investigate time variant Hamiltonian control systems and present an intrinsic formulation, which is compatible with respect to the change of the reference frame. Non inertial systems can be described by a non trivial connection on the state bundle and if this connection can be absorbed in a modified Hamiltonian then this can be exploited for a geometric interpretation of the error system with respect to trajectory tracking in a Hamiltonian description.