# Boundary controlled irreversible port-Hamiltonian systems

arXiv: https://arxiv.org/abs/2104.13459 · HTML: https://mlsanity.com/paper/2104.13459/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Apr 2021.

## Built on by (most cited first, 1 of 1)

- [PH-KAN: Port-Hamiltonian Kolmogorov-Arnold Network](https://mlsanity.com/paper/2606.14708/) (2026)

## Abstract (arXiv)

Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) on 1-dimensional spatial domains are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their spatial domains. The structure of BC-IPHS has clear physical interpretation, characterizing the coupling between energy storing and energy dissipating elements. By extending the definition of boundary port variables of BC-PHS to deal with the dissipative terms, a set of boundary port variables are defined such that BC-IPHS are passive with respect to a given set of conjugated inputs and outputs. As for finite dimensional IPHS, the first and second principle are satisfied as a structural property. Several examples are given to illustrate the proposed approach.