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Performance analysis for cone-preserving switched systems with constrained switching

Seidel, Marc LU ; Pates, Richard LU orcid and Allgöwer, Frank LU (2025) 64th IEEE Conference on Decision and Control, CDC 2025 In Proceedings of the IEEE Conference on Decision and Control p.4101-4106
Abstract

This paper studies cone-preserving linear discrete-time switched systems whose switching is governed by an automaton. For this general system class, we present performance analysis conditions for a broadly usable performance measure. In doing so, we generalize several known results for performance and stability analysis for switched and positive switched systems, providing a unifying perspective. We also arrive at novel ℓ1-performance analysis conditions for positive switched systems with constrained switching, for which we present an application-motivated numerical example. Further, the cone-preserving perspective provides insights into appropriate Lyapunov function selection.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2025 IEEE 64th Conference on Decision and Control, CDC 2025
series title
Proceedings of the IEEE Conference on Decision and Control
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
64th IEEE Conference on Decision and Control, CDC 2025
conference location
Rio de Janeiro, Brazil
conference dates
2025-12-09 - 2025-12-12
external identifiers
  • scopus:105031898152
ISSN
0743-1546
2576-2370
ISBN
9798331526276
DOI
10.1109/CDC57313.2025.11312209
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2025 IEEE.
id
349ccf7d-4e75-4edf-aeef-204c83044545
date added to LUP
2026-05-05 13:30:52
date last changed
2026-09-24 06:06:03
@inproceedings{349ccf7d-4e75-4edf-aeef-204c83044545,
  abstract     = {{<p>This paper studies cone-preserving linear discrete-time switched systems whose switching is governed by an automaton. For this general system class, we present performance analysis conditions for a broadly usable performance measure. In doing so, we generalize several known results for performance and stability analysis for switched and positive switched systems, providing a unifying perspective. We also arrive at novel ℓ<sub>1-</sub>performance analysis conditions for positive switched systems with constrained switching, for which we present an application-motivated numerical example. Further, the cone-preserving perspective provides insights into appropriate Lyapunov function selection.</p>}},
  author       = {{Seidel, Marc and Pates, Richard and Allgöwer, Frank}},
  booktitle    = {{2025 IEEE 64th Conference on Decision and Control, CDC 2025}},
  isbn         = {{9798331526276}},
  issn         = {{0743-1546}},
  language     = {{eng}},
  pages        = {{4101--4106}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{Proceedings of the IEEE Conference on Decision and Control}},
  title        = {{Performance analysis for cone-preserving switched systems with constrained switching}},
  url          = {{http://dx.doi.org/10.1109/CDC57313.2025.11312209}},
  doi          = {{10.1109/CDC57313.2025.11312209}},
  year         = {{2025}},
}