Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems

TL;DR

This paper investigates how to minimize energy supply in infinite-dimensional linear port-Hamiltonian systems, revealing that optimal solutions tend to focus on specific dissipative subspaces over time.

Contribution

It introduces a novel approach to energy minimization in infinite-dimensional port-Hamiltonian systems and demonstrates the turnpike phenomenon in this context.

Findings

Optimal trajectories show turnpike behavior towards dissipative subspaces.

Theoretical proof of energy minimization properties.

Identification of subspaces induced by dissipation.

Abstract

We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomenon towards certain subspaces induced by the dissipation of the dynamics.