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arXiv · 0911.1141

A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems

Shanaz Tiwari·Yuan Wang·Zhong-Ping Jiang
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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.

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Shanaz Tiwari, Yuan Wang, Zhong-Ping Jiang. 2009-11-05. A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems. https://arxiv.org/abs/0911.1141

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