Goncalves, Jorge[University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2005
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
IEEE Control Systems Society
IEEE Conference on Decision and Control
4169-4174
Yes
0780395670
44th IEEE Conference on Decision and Control
12-15 December 2005
Seville
Spain
[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.