nearby-ph-realization

Given an LTI system realization, find a storage function and a (potentially perturbed) LTI realization for an associated port-Hamiltonian system

https://github.com/christopherbeattie/nearby-ph-realization

Science Score: 44.0%

This score indicates how likely this project is to be science-related based on various indicators:

✓
CITATION.cff file
Found CITATION.cff file
✓
codemeta.json file
Found codemeta.json file
✓
.zenodo.json file
Found .zenodo.json file
○
DOI references
○
Academic publication links
○
Academic email domains
○
Institutional organization owner
○
JOSS paper metadata
○
Scientific vocabulary similarity
Low similarity (2.8%) to scientific vocabulary

Last synced: 6 months ago · JSON representation ·

Repository

Given an LTI system realization, find a storage function and a (potentially perturbed) LTI realization for an associated port-Hamiltonian system

Basic Info

Host: GitHub
Owner: christopherbeattie
License: gpl-3.0
Default Branch: main
Size: 30.3 KB

Statistics

Stars: 0
Watchers: 1
Forks: 0
Open Issues: 0
Releases: 1

Created about 1 year ago · Last pushed about 1 year ago

Metadata Files

Readme License Citation

Finding a nearby port-Hamiltonian realization of an LTI system

This MATLAB livescript demonstrates the computation of a port-Hamiltonian realization of a given linear time invariant system.
If no port-Hamiltonian realization exists, minimal modifications are made to the original system that permits realization as a port-Hamiltonian system.

Calling format:

        [Zhat,sys_out,Resid]=LureLMIsolve(sys_in)

Input: sys_in - Standard system realization (A,B,C,D) with [ A=sysin.A, B=sysin.B, C=sysin.C, and D=sysin.D ]

Returns: Zhat - left factor of positive definite solution Q = ZhatZhat'* to Lure LMI either associated
with the given realization (in which case sys_out is "state space equivalent" to sys_in)
OR
with a nearby realization that is consistent with solvability of the Lure LMI;

sys_out - output system realization that is port-Hamiltonian: [ sysout.A,sysout.B,sysout.C,sysout.D ]
either sys_out is equivalent to sys_in or it is nearby and a small perturbation of sys_in allowing for a pH realization
Resid - the left factor of the final Lure LMI residual:

             [QA + A'Q  QB-C' ] 
             [  BQ-C   -(D+D')]  =  - Resid * Resid'

Owner

Name: Christopher Beattie
Login: christopherbeattie
Kind: user

Repositories: 1
Profile: https://github.com/christopherbeattie

Professor of Mathematics at Virginia Tech

Citation (CITATION.cff)

# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!

cff-version: 1.2.0
title: nearby-pH-realization
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Christopher
    family-names: Beattie
    email: beattie@vt.edu
    affiliation: Virginia Tech
    orcid: 'https://orcid.org/0000-0003-3302-4845'
  - given-names: 'Volker '
    family-names: Mehrmann
    email: mehrmann@math.tu-berlin.de
    affiliation: TU-Berlin
  - given-names: Hongguo
    email: feng@ku.edu
    family-names: Xu
    affiliation: University of Kansas
repository-code: >-
  https://github.com/christopherbeattie/nearby-pH-realization
abstract: >-
  This MATLAB livescript demonstrates the computation of a
  port-Hamiltonian realization of a given linear time
  invariant system.  If no port-Hamiltonian realization
  exists, minimal modifications are made to the original
  system that permits realization as a port-Hamiltonian
  system.
keywords:
  - port-Hamiltonian
  - system realization
  - passive systems
version: '1.0'
date-released: '2025-01-30'

ecosyste.ms

Data

Tools

Indexes

Applications

Experiments

Open Source Science