TY - GEN
T1 - Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation
AU - Ito, Hiroshi
AU - Freeman, Randy A.
AU - Chaillet, Antoine
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-to-state stable (ISS) systems has been extended to the class of iISS systems. It has been also proved that at least one of the two iISS subsystems comprising a feedback interconnection needs to be ISS with respect to the state of the other subsystem for guaranteeing the iISS of the overall system. This paper shows that making use of this necessary condition enables to provide more insight on the iISS small gain theorem by giving an alternative proof of this result from the perspective of transient plus ISS small-gain regulation.
AB - This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-to-state stable (ISS) systems has been extended to the class of iISS systems. It has been also proved that at least one of the two iISS subsystems comprising a feedback interconnection needs to be ISS with respect to the state of the other subsystem for guaranteeing the iISS of the overall system. This paper shows that making use of this necessary condition enables to provide more insight on the iISS small gain theorem by giving an alternative proof of this result from the perspective of transient plus ISS small-gain regulation.
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U2 - 10.1109/CDC.2010.5717732
DO - 10.1109/CDC.2010.5717732
M3 - Conference contribution
AN - SCOPUS:79953146441
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2432
EP - 2437
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
T2 - 2010 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -