Automated Stability Analysis of Piecewise Affine Dynamics Using Vertices

This paper presents an automated algorithm to analyze the stability of piecewise affine (PWA) dynamical systems due to their broad applications. We parametrize the Lyapunov function as a PWA function, with polytopic regions defined by the PWA dynamics. Using this parametrization, Stability condition...

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Veröffentlicht in:	arXiv.org 2023-12
Hauptverfasser:	Samanipour, Pouya, Poonawala, Hasan A
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Apexes Automation Computing time Delaunay triangulation Dynamic stability Dynamical systems Fields (mathematics) Liapunov functions Linear programming Parameterization Polytopes Stability analysis
Online-Zugang:	Volltext
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