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

Stefania Andersen; Sigurdur Hafstein; Juan Javier Palacios Roman; Sebastiaan J.A.M. van den Eijnden

doi:10.5220/0012927500003822

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

Stefania Andersen, Sigurdur Hafstein, Juan Javier Palacios Roman, Sebastiaan J.A.M. van den Eijnden

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	English
Title of host publication	Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics
Editors	Guiseppina Gina, Radu-Emil Precup, Dimitar Filev
Publisher	SciTePress Digital Library
Pages	277-284
Number of pages	8
Volume	1
ISBN (Electronic)	978-989-758-717-7
DOIs	https://doi.org/10.5220/0012927500003822
Publication status	Published - 2024
Event	21st International Conference of Informatics in Control, Automation and Robotics - Porto, Portugal Duration: 18 Nov 2024 → 20 Nov 2024

Conference

Conference	21st International Conference of Informatics in Control, Automation and Robotics
Abbreviated title	ICINCO
Country/Territory	Portugal
City	Porto
Period	18/11/24 → 20/11/24

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10.5220/0012927500003822

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Andersen, S., Hafstein, S., Palacios Roman, J. J., & van den Eijnden, S. J. A. M. (2024). Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. In G. Gina, R.-E. Precup, & D. Filev (Eds.), Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics (Vol. 1, pp. 277-284). SciTePress Digital Library. https://doi.org/10.5220/0012927500003822

Andersen, Stefania ; Hafstein, Sigurdur ; Palacios Roman, Juan Javier et al. / Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. editor / Guiseppina Gina ; Radu-Emil Precup ; Dimitar Filev. Vol. 1 SciTePress Digital Library, 2024. pp. 277-284

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title = "Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems",

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.",

author = "Stefania Andersen and Sigurdur Hafstein and \{Palacios Roman\}, \{Juan Javier\} and \{van den Eijnden\}, \{Sebastiaan J.A.M.\}",

year = "2024",

doi = "10.5220/0012927500003822",

language = "English",

volume = "1",

pages = "277--284",

editor = "Guiseppina Gina and Radu-Emil Precup and Dimitar Filev",

booktitle = "Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics",

publisher = "SciTePress Digital Library",

note = "21st International Conference of Informatics in Control, Automation and Robotics ; Conference date: 18-11-2024 Through 20-11-2024",

}

Andersen, S, Hafstein, S, Palacios Roman, JJ & van den Eijnden, SJAM 2024, Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. in G Gina, R-E Precup & D Filev (eds), Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. vol. 1, SciTePress Digital Library, pp. 277-284, 21st International Conference of Informatics in Control, Automation and Robotics, Porto, Portugal, 18/11/24. https://doi.org/10.5220/0012927500003822

Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. / Andersen, Stefania; Hafstein, Sigurdur; Palacios Roman, Juan Javier et al.
Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. ed. / Guiseppina Gina; Radu-Emil Precup; Dimitar Filev. Vol. 1 SciTePress Digital Library, 2024. p. 277-284.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems

AU - Andersen, Stefania

AU - Hafstein, Sigurdur

AU - Palacios Roman, Juan Javier

AU - van den Eijnden, Sebastiaan J.A.M.

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AB - 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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DO - 10.5220/0012927500003822

M3 - Conference contribution

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SP - 277

EP - 284

BT - Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics

A2 - Gina, Guiseppina

A2 - Precup, Radu-Emil

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PB - SciTePress Digital Library

T2 - 21st International Conference of Informatics in Control, Automation and Robotics

Y2 - 18 November 2024 through 20 November 2024

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Andersen S, Hafstein S, Palacios Roman JJ , van den Eijnden SJAM. Efficient Implementation of Piecewise Quadratic Lyapunov Function Computations for Switched Linear Systems. In Gina G, Precup RE, Filev D, editors, Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. Vol. 1. SciTePress Digital Library. 2024. p. 277-284 doi: 10.5220/0012927500003822

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

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