@inproceedings{bd91df1372274e07a6ba60f8973b353d,
title = "Decision algorithm for the stability of planar switching linear systems",
abstract = "This paper presents a decision algorithm for the analysis of the stability of a class of planar switched linear systems, modeled by hybrid automata. The dynamics in each location of the hybrid automaton is assumed to be linear and asymptotically stable; the guards on the transitions are hyper planes in the state space. We show that for every pair of an ingoing and an outgoing transition related to a location, the exact gain in the norm of the vector induced by the dynamics in that location can be computed. These exact gains are used in defining a gain automaton which forms the basis of an algorithmic criterion to determine if a planar hybrid automaton is stable or not.",
keywords = "EWI-14798, METIS-255078, IR-65267",
author = "C.F. Daws and Romanus Langerak and Polderman, {Jan W.}",
year = "2008",
month = aug,
language = "Undefined",
isbn = "not assigned",
publisher = "SIAM",
number = "2008/16200",
pages = "11",
booktitle = "Proceedings of the 18th international symposium on mathematical theory of networks & systems",
note = "18th International Symposium on Mathematical Theory of Networks & Systems, Blacksburg, Virginia, USA ; Conference date: 01-01-2008",
}