Reachability analysis of continuous time piecewise linear systems

Reference : Reachability analysis of continuous time piecewise linear systems


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/10993/20436

Title :	Reachability analysis of continuous time piecewise linear systems
Language :	English
Author, co-author :	Hamadeh, A. O. [> >]
	Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	2005
Main document title :	Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
Publisher :	IEEE Control Systems Society
Collection and collection volume :	IEEE Conference on Decision and Control
Pages :	4169-4174
Peer reviewed :	Yes
ISBN :	0780395670
Event name :	44th IEEE Conference on Decision and Control
Event date :	12-15 December 2005
Event place (city) :	Seville
Event country :	Spain
Abstract :	[en] This paper presents a new approach to the reachability problem for a class of hybrid systems called Piecewise Linear Systems (PLS). The principal tool used is the impact map between switching surfaces. The method consists of specifying a ellipsoidal set on the initial switching surface and finding upper- and lower-bound estimates of the possible reach sets using tools such as the S-procedure to set up linear matrix inequalities, of which numerical solutions are then computed.
Permalink :	http://hdl.handle.net/10993/20436
DOI :	10.1109/CDC.2005.1582816

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