Title :
The geometrical criterion for stability of linear hybrid automata on the plane
Author :
Kuzmych, Olena ; Aitouche, A. ; Shah, Muhammad Zamurad
Author_Institution :
LAGIS, Hautes Etudes d´Ingenieur, Lille, France
Abstract :
This paper presents tools to detect potential sources of instability of planar linear hybrid systems, modeled by hybrid automata. We presented a geometrical criterion by which potentially unstable system can be stabilized by deleting its unstable modes.
Keywords :
automata theory; geometry; geometrical criterion; instability; linear hybrid automata; planar linear hybrid systems; system stability; unstable modes; Asymptotic stability; Automata; Lyapunov methods; Stability criteria; Switches; Vectors; hybrid automata; planar hybrid system; stability; unstable mode;
Conference_Titel :
Control, Decision and Information Technologies (CoDIT), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-5547-6
DOI :
10.1109/CoDIT.2013.6689530