# Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply

arXiv: https://arxiv.org/abs/2301.09094 · HTML: https://mlsanity.com/paper/2301.09094/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Jan 2023.

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

- [On Dissipativity of Cross-Entropy Loss in Training ResNets](https://mlsanity.com/paper/2405.19013/) (2024)

## Abstract (arXiv)

Turnpike phenomena of nonlinear port-Hamiltonian descriptor systems under minimal energy supply are studied. Under assumptions on the smoothness of the system nonlinearities, it is shown that the optimal control problem is dissipative with respect to a manifold. Then, under controllability assumptions, it is shown that the optimal control problem exhibits a manifold turnpike property.