TY - GEN
T1 - A composite circle criterion
AU - Materassi, D.
AU - Innocenti, G.
AU - Genesio, R.
AU - Basso, M.
PY - 2007
Y1 - 2007
N2 - The paper deals with the classical problem of the absolute stability in a SISO Lur'e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the 'union sector, a set of constraints is defined, so that they make globally asimptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.
AB - The paper deals with the classical problem of the absolute stability in a SISO Lur'e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the 'union sector, a set of constraints is defined, so that they make globally asimptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.
UR - http://www.scopus.com/inward/record.url?scp=62749205487&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62749205487&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434762
DO - 10.1109/CDC.2007.4434762
M3 - Conference contribution
AN - SCOPUS:62749205487
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4459
EP - 4464
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -