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A geometric framework for discrete time port-Hamiltonian systems (2307.01351v2)
Published 3 Jul 2023 in math.OC and math.DS
Abstract: Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interconnections are constructed by geometric objects called Dirac structures. In this paper, we derive this geometric formulation and the interconnection properties for scattering passive discrete-time port-Hamiltonian systems.