Reduced-order approximation of consensus dynamics in networks with a hybrid adaptive communication protocol. (February 2018)

• Record Type: Journal Article
• Authors: Burke, Richard; Piiroinen, Petri T.
• Is Part Of: Nonlinear analysis. Volume 27(2018)
• Page Start: 298
• Page End: 306
• Publication Date: 2018-02
• Subjects: Consensus -- Multi agent systems -- Evolving networks -- Adaptive control; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.09.005
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper focuses on a hybrid adaptive control (or communication protocol) that is used to drive a network of agents towards consensus. We develop an approximation to the system to capture the qualitative behaviour of the most distant node state and gain dynamics, thus serving as a powerful reduction of order of the larger system. Numerical results are presented to argue the robustness of the approximation over a range of differing initial network sizes and distributions of initial state values.