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

2009/11/05 by Shanaz Tiwari, Yuan Wang, Tiwari, Shanaz +3
Mathematics · #93D #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:93D

paper · pdf · doi:10.48550/arxiv.0911.1141

6 pages

arxiv created 2009/11/05 · arxiv updated 2009/12/01

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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