2025/06/04 by Karsai, Attila, Breiten, Tobias, Ramme, Justus +1
Engineering · Mathematics · Physics and Astronomy · #600 Technik #Control and Stability of Dynamical Systems #Medizin #Model Reduction and Neural Networks #Numerical methods for differential equations #angewandte Wissenschaften::620 Ingenieurwissenschaften::620 Ingenieurwissenschaften und zugeordnete Tätigkeiten #energy systems #modeling #nonlinear systems #port-Hamiltonian systems
paper · doi:10.14279/depositonce-24919
openalex publication_date 2025/06/04 · openalex created_date 2025/12/06 · openalex updated_date 2026/07/01
Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. In addition, algebraically encoding passivity in the system description can be advantageous. For this, port-Hamiltonian systems are a prominent approach. Another possibility is writing the system in suitable coordinates. In this article, we investigate the equivalence between passivity and the feasibility of passivity encoding representations, thereby elaborating upon existing results for port-Hamiltonian systems. Based on our findings, we present a method to construct port-Hamiltonian representations of a passive system if the dynamics and the Hamiltonian are known.