%0 Journal Article
%T A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems
%A Shanaz Tiwari
%A Yuan Wang
%A Zhong-Ping Jiang
%J Mathematics
%D 2009
%I arXiv
%X This paper extends the nonlinear ISS small-gain theorem to a large-scale time delay system composed of three or more subsystems. En route to proving this small-gain theorem for systems of differential equations with delays, a small-gain theorem for operators is examined. The result developed for operators allows applications to a wide class of systems, including state space systems with delays.
%U http://arxiv.org/abs/0911.1141v1