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 -