@article{7b25584294c946e9b4bef36c7c42d55f,
title = "Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks",
abstract = "This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.",
keywords = "Dynamical networks, Input-to-state stability (ISS), Lyapunov functions, Small-gain",
author = "Tengfei Liu and Hill, {David J.} and Jiang, {Zhong Ping}",
note = "Funding Information: This research was supported under the Australian Research Councils Discovery funding scheme (project number: FF0455875 ), in part by a seed grant from NYU and POLY , and by NSF grant DMS-0906659 . This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Maurice Heemels under the direction of Editor Andrew R. Teel. Funding Information: An IEEE Fellow, Dr. Jiang has served as a Subject Editor for the International Journal of Robust and Nonlinear Control, and as an Associate Editor for Systems & Control Letters, IEEE Transactions on Automatic Control, European Journal of Control and J. Control Theory and Applications. Dr. Jiang is a recipient of the prestigious Queen Elizabeth II Fellowship Award from the Australian Research Council, the CAREER Award from the US National Science Foundation, and the Young Investigator Award from the NSF of China. He (together with coauthor Yuan Wang) received the Best Theoretic Paper Award at the 2008 World Congress on Intelligent Control and Automation, June 2008, for the paper “A Generalization of the Nonlinear Small-Gain Theorem for Large-Scale Complex Systems”. Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2011",
month = sep,
doi = "10.1016/j.automatica.2011.06.018",
language = "English (US)",
volume = "47",
pages = "2088--2093",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",
number = "9",
}