Reachability analysis of continuous-time piecewise affine systems

Reference : Reachability analysis of continuous-time piecewise affine systems


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/10993/20333

Title :	Reachability analysis of continuous-time piecewise affine systems
Language :	English
Author, co-author :	Hamadeh, A. O. [> >]
	Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	Dec-2008
Journal title :	Automatica
Publisher :	Pergamon Press - An Imprint of Elsevier Science
Volume :	44
Issue/season :	12
Pages :	3189-3194
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0005-1098
City :	Oxford
Country :	United Kingdom
Keywords :	[en] Reachability ; Piecewise affine systems ; Hybrid systems
Abstract :	[en] This paper proposes an algorithm for the characterization of reachable sets of states for continuous-time piecewise affine systems. Given a model of the system and a bounded set of possible initial states, the algorithm employs an LMI approach to compute both upper and lower bounds on reachable regions. Rather than performing computations in the state-space, this method uses impact maps to find the reachable sets on the switching surfaces of the system. This tool can then be used to deduce safety and performance results about the system.
Permalink :	http://hdl.handle.net/10993/20333
DOI :	10.1016/j.automatica.2008.05.023
Other URL :	http://www.elsevier.com/wps/find/journaldescription.cws_home/270/description#description

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Limited access	Reachability analysis of continuous-time piecewise affine systems.pdf		Publisher postprint	2.41 MB	Request a copy

All documents in ORBi^lu are protected by a user license.