Table of Contents Author Guidelines Submit a Manuscript
International Journal of Differential Equations
Volume 2016, Article ID 9192127, 9 pages
Research Article

Static Consensus in Passifiable Linear Networks

Department of Control Engineering, Czech Technical University in Prague, Karlovo namesti 13, 121 35 Praha 2, Czech Republic

Received 29 December 2015; Revised 21 March 2016; Accepted 27 March 2016

Academic Editor: Jinde Cao

Copyright © 2016 Ibragim A. Junussov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.