119 research outputs found
Interconnection structures in physical systems: a mathematical formulation
The power-conserving structure of a physical system is known as interconnection structure. This paper presents a mathematical formulation of the interconnection structure in Hilbert spaces. Some properties of interconnection structures are pointed out and their three natural representations are treated. The developed theory is illustrated on two examples: electrical circuit and one-dimensional transmission lin
Singular reduction of implicit Hamiltonian systems
This paper develops the reduction theory of implicit Hamiltonian systems
admitting a symmetry group at a singular value of the momentum map. The results
naturally extend those known for (explicit) Hamiltonian systems described by
Poisson brackets.Comment: 29 pages, no figures, submitte
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