Abstract
this paper presents a systematic method to obtain a geometric interconnection structure associated with a physical system with variable topology. A non-minimal kernel representation of this hybrid Dirac structure is introduced. This implicit structure includes real and discrete variables and is obtained from a mathematical representation of the dynamic network graph associated with the system. The advantages of this representation are that the discrete state of the switching part is explicit and the equations are directly related to the interconnection constraints, energy supply, storage and dissipation.
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