A new formulation of small-gain theorem without imposing strong iISS with respect to disturbances on components

Title: A new formulation of small-gain theorem without imposing strong iISS with respect to disturbances on components
Creator: Ito, Hiroshi; Kellett, Christopher M.
Relation: 2017 IEEE 56th Annual Conference on Decision and Control (CDC). Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (Melbourne 12-15 December, 2017) p. 1193-1198
Publisher Link: http://dx.doi.org/10.1109/CDC.2017.8263818
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2017
Description: The small-gain paradigm has long been used to verify stability of feedback interconnected systems. For component systems that are integral input-to-state stable (iISS), available small-gain results require the component systems to be strongly iISS. We remove this restriction by using a recently proposed Lyapunov characterization of iISS that allows cross terms between external inputs and states in the Lyapunov decrease condition. This novel formulation extends previously available iISS small-gain arguments, which is demonstrated in an example.
Subject: Lyapunov methods; interconnected systems; stability analysis; Australia; indium tin oxide; systematics
Identifier: http://hdl.handle.net/1959.13/1384582
Identifier: uon:32105
Identifier: ISBN:9781509028733
Language: eng
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