Abstract:

The generalized controlled Hamiltonian systems developed from traditional Hamiltonian systems, describe a kind of open dynamical systems, which may have energy dissipation and exchanges with their environment. The developing course of Hamiltoian systems was  first introduced, and then both of the research hot topics and newest development on general Hamiltonian  systems were given. The aim of this paper was to give the reader a whole picture of both energy-based control and  development of research of generalized Hamiltonian systems.

Key words: generalized controlled Hamiltonian system, Hamiltonian realization, energy-based control, observer design, switched (hybrid)Hamiltonian system