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.
|Title of host publication
|2010 49th IEEE Conference on Decision and Control, CDC 2010
|Institute of Electrical and Electronics Engineers Inc.
|Number of pages
|Published - 2010
|49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
Duration: Dec 15 2010 → Dec 17 2010
|Proceedings of the IEEE Conference on Decision and Control
|49th IEEE Conference on Decision and Control, CDC 2010
|12/15/10 → 12/17/10
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization