# Topological geometric extension of Stokes-Dirac structures for global energy flows

## TL;DR

This paper extends the mathematical framework of Stokes-Dirac structures to account for global topological features, enabling better modeling of energy flows in interconnected systems on complex manifolds.

## Contribution

It introduces a topological geometric extension of Stokes-Dirac structures for global energy flow analysis in port-Hamiltonian systems.

## Key findings

- Provides a global structure framework for Stokes-Dirac structures
- Enhances modeling of interconnected systems on manifolds with complex topology
- Clarifies boundary condition handling in energy flow analysis

## Abstract

This paper clarifies a global structure of Stokes-Dirac structures used for describing interconnected port-Hamiltonian systems defined on manifolds with non-trivial topology under consistent boundary condition.