Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems

Stefania Andersen, Sigurdur Hafstein, Juan Roman, Sebastiaan van den Eijnden

2024

Abstract

We describe a linear programming (LP) problem to parameterize continuous and piecewise quadratic (CPQ) Lyapunov functions for switched linear systems. We discuss some algorithms and data-structures for its implementation in C++ and compare the computational efficiency of our implementation to an analogous implementation in MATLAB.

Paper Citation

in Harvard Style

Andersen S., Hafstein S., Roman J. and van den Eijnden S. (2024). Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. In Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-717-7, SciTePress, pages 277-284. DOI: 10.5220/0012927500003822

in Bibtex Style

@conference{icinco24,
author={Stefania Andersen and Sigurdur Hafstein and Juan Roman and Sebastiaan van den Eijnden},
title={Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems},
booktitle={Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2024},
pages={277-284},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012927500003822},
isbn={978-989-758-717-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems
SN - 978-989-758-717-7
AU - Andersen S.
AU - Hafstein S.
AU - Roman J.
AU - van den Eijnden S.
PY - 2024
SP - 277
EP - 284
DO - 10.5220/0012927500003822
PB - SciTePress