A geometric stabilization of planar switched systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2020

A geometric stabilization of planar switched systems


In this paper, we investigate a particular class of switching functions between two linear systems in the plan. The considered functions are defined in terms of geometric constructions. More precisely, we introduce two criteria for proving uniform stability of such functions, both criteria are based on the construction of a Lyapunov function. The first criterion is constructed in terms of an algebraic reformulation of the problem and linear matrix inequalities. The second one is purely geometric. Finally, we illustrate the second method with a numerical example.
Fichier principal
Vignette du fichier
notes.pdf (646.32 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02366928 , version 1 (16-11-2019)
hal-02366928 , version 2 (15-04-2020)



Cyrille Chenavier, Rosane Ushirobira, Giorgio Valmorbida. A geometric stabilization of planar switched systems. IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin, Germany. ⟨10.1016/j.ifacol.2020.12.1787⟩. ⟨hal-02366928v2⟩
145 View
118 Download



Gmail Facebook X LinkedIn More