TY - GEN
T1 - A new formulation of small-gain theorem without imposing strong iISS with respect to Disturbances on components
AU - Ito, Hiroshi
AU - Kellett, Christopher M.
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/6/28
Y1 - 2017/6/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85046146062&partnerID=8YFLogxK
U2 - 10.1109/CDC.2017.8263818
DO - 10.1109/CDC.2017.8263818
M3 - Conference contribution
T3 - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
SP - 1193
EP - 1198
BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017
Y2 - 12 December 2017 through 15 December 2017
ER -