A geometric framework for discrete time port-Hamiltonian systems

2023/07/03 by Karim Cherifi, Cherifi, Karim, Hannes Gernandt +5
Engineering · Mathematics · #Algebraic and Geometric Analysis #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2307.01351

openalex publication_date 2023/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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