[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Hamadeh, A. O.
GONCALVES, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Language :
English
Title :
Reachability analysis of continuous time piecewise linear systems
Publication date :
2005
Event name :
44th IEEE Conference on Decision and Control
Event place :
Seville, Spain
Event date :
12-15 December 2005
Main work title :
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
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