On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems
Optimization and Control
2026-02-03 v1 Systems and Control
Systems and Control
Abstract
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.
Cite
@article{arxiv.2602.01337,
title = {On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems},
author = {T. J. Meijer and V. S. Dolk and W. P. M. H. Heemels},
journal= {arXiv preprint arXiv:2602.01337},
year = {2026}
}
Comments
To appear in Automatica