On the stability and convergence of a class of consensus systems with a nonlinear input

Published in Automatica, 2017

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Abstract

We consider a class of consensus systems driven by a nonlinear input. Such systems arise in a class ofInternet ofThings(IOT) applications. Our objective in this paper is to determine conditions under which a certain partially distributed system converges to a Lur{โ€˜}e-like scalar system, and to provide a rigorous proof of its stability. Conditions are derived for the non-uniform convergence and stability of such a system and an example is given of a speed advisory system where such a system arises.

Citation

@article{liu2017stability,
title={On the stability and convergence of a class of consensus systems with a nonlinear input},
author={Liu, Mingming and Wirth, Fabian and Corless, Martin and Shorten, Robert},
journal={Automatica},
volume={86},
pages={205โ€“211},
year={2017},
publisher={Elsevier},
}