On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems

Fuente: arXiv
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Autori principali: Meijer, T. J., Dolk, V. S., Heemels, W. P. M. H.
Natura: Preprint
Pubblicazione: 2026
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author Meijer, T. J.
Dolk, V. S.
Heemels, W. P. M. H.
author_facet Meijer, T. J.
Dolk, V. S.
Heemels, W. P. M. H.
contents In this technical communique, we generalize the well-known Lyapunov-based stabilizability and detectability tests for discrete-time linear time-invariant systems to polytopic linear parameter-varying systems using the class of so-called poly-quadratic Lyapunov functions.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01337
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems
Meijer, T. J.
Dolk, V. S.
Heemels, W. P. M. H.
Optimization and Control
Systems and Control
In this technical communique, we generalize the well-known Lyapunov-based stabilizability and detectability tests for discrete-time linear time-invariant systems to polytopic linear parameter-varying systems using the class of so-called poly-quadratic Lyapunov functions.
title On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2602.01337