A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems
Optimization and Control
2009-11-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0911.1141,
title = {A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems},
author = {Shanaz Tiwari and Yuan Wang and Zhong-Ping Jiang},
journal= {arXiv preprint arXiv:0911.1141},
year = {2009}
}
Comments
6 pages