Hamiltonian systems model a number of important problems in theoretical physics, mechanics, fluid dynamics and others disciplines. Many important physical and engineering processes can be described by a suitable linear Hamiltonian formalism. The properties of Hamiltonian systems like conservation of energy or volume in the phase space leads specific dynamical features. This paper approaches the study, analysis and characterization of linear Hamiltonian systems through the linear algebra
Garcia-Planas, M.I., Chanes, A. Linear hamiltonian control systems. An approach under linear algebra point of view. A: International Conference on Physics and Control. "Conference Proceedings / 8th International Conference on Physics and Control (PhysCon 2017)". Florencia: IPACS Electrinic Library, 2017.