Performance analysis for cone-preserving switched systems with constrained switching
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909038640365568 |
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| author | Seidel, Marc Pates, Richard Allgöwer, Frank |
| author_facet | Seidel, Marc Pates, Richard Allgöwer, Frank |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Performance analysis for cone-preserving switched systems with constrained switching Seidel, Marc Pates, Richard Allgöwer, Frank Systems and Control 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. |
| title | Performance analysis for cone-preserving switched systems with constrained switching |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2508.16450 |