# Port-Hamiltonian nonlinear systems

arXiv: https://arxiv.org/abs/2412.19673 · HTML: https://mlsanity.com/paper/2412.19673/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Dec 2024.

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

- [When Descent Is Too Stable: Event-Triggered Hamiltonian Learning to Optimize](https://mlsanity.com/paper/2605.06868/) (2026)

## Abstract (arXiv)

Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and control for physical systems. It provides a unified framework for the modelling of complex multiphysics systems. At the same time it offers powerful tools for analysis and control by identifying the underlying physical structure, as reflected in, e.g., energy balance and other conserved quantities. This leads to control schemes that exploit the physical structure, instead of compensating for it. As a result, the derived control laws tend to be simple, physically interpretable, and robust with respect to physical parameter variations. In this paper, after introducing port-Hamiltonian systems, the focus is on 'control by interconnection' for set-point stabilization of nonlinear physical systems. Most of this theory is well-established, but novel developments using 'energy ports' instead of 'power ports' are also included.