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

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

2009-11-05

arxiv.org/abs/0911.1141v1

Mathematics

Optimization and Control

6 pages

Scientific paper

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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