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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2015 Issue 9, Pages 44–63 (Mi at14281)

This article is cited in 4 papers

Nonlinear Systems

Consensus in nonlinear stationary networks with identical agents

A. V. Proskurnikovabc

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c St. Petersburg State National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia

Abstract: For the multiagent networks with arbitrary-order identical agents and nonlinear uncertain couplings, satisfying the sector inequalities consideration was given to the problem of reaching consensus (asymptotic synchronization) The network topology was assumed to be time-invariant. A frequency-domain consensus criterion extending the Popov criterion for the absolute stability of Lurie systems with one scalar-valued nonlinearity was proposed.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 29.12.2013


 English version:
Automation and Remote Control, 2015, 76:9, 1551–1565

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