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CDC
2010
IEEE

Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation

10 years 6 months ago
Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation
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-tostate 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.
Hiroshi Ito, Randy A. Freeman, Antoine Chaillet
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2010
Where CDC
Authors Hiroshi Ito, Randy A. Freeman, Antoine Chaillet
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