On the stability and convergence of a class of consensus systems with a nonlinear input. (December 2017)

• Record Type: Journal Article
• Authors: Liu, Mingming; Wirth, Fabian; Corless, Martin; Shorten, Robert
• Is Part Of: Automatica. Volume 86(2017)
• Page Start: 205
• Page End: 211
• Publication Date: 2017-12
• Subjects: Nonlinear systems -- Optimisation -- Convergence proofs; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.08.003
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: We consider a class of consensus systems driven by a nonlinear input. Such systems arise in a class of Internet of Things (IOT) applications. Our objective in this paper is to determine conditions under which a certain partially distributed system converges to a Lur'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.