Petrov Invariants for 1-D Control Hamiltonian Systems
نویسندگان
چکیده
In this paper we consider the action of symplectic feedback transformations on 1-D control Hamiltonian systems. We study differential invariants of the pseudogroup of feedback symplectic transformations, which we call Petrov invariants, and show that the algebra of invariants possesses a natural Poisson structure and central derivations. This structure allows us to classify regular 1-D control Hamiltonian systems.
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