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arXiv · 2508.16450

Performance analysis for cone-preserving switched systems with constrained switching

Marc Seidel·Richard Pates·Frank Allgöwer
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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 $\ell_1$-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.

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Marc Seidel, Richard Pates, Frank Allgöwer. 2025-08-22. Performance analysis for cone-preserving switched systems with constrained switching. https://doi.org/10.1109/cdc57313.2025.11312209

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