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

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

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Paper

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

Topics: Optimization Algorithms

In Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 277-284, 2024 , Porto, Portugal

Authors: Stefania Andersen ¹ ; Sigurdur Hafstein ¹ ; Juan Roman ² and Sebastiaan van den Eijnden ²

Affiliations: ¹ University of Iceland, Faculty of Physical Sciences, Dunhagi 5, 107 Reykjavik, Iceland ; ² Eindhoven University of Technology, Department of Mechanical Engineering, Groene Loper 3, 5612 AE Eindhoven, Netherlands

Keyword(s): Common Lyapunov Function, Switched Linear Systems, Linear Programming, C++, MATLAB.

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.

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Paper citation in several formats:

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; ISSN 2184-2809, SciTePress, pages 277-284. DOI: 10.5220/0012927500003822

@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},
issn={2184-2809},
}

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
IS - 2184-2809
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