Jump to ContentJump to Main Navigation
Show Summary Details
More options …

International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Chen, Xi / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

8 Issues per year

IMPACT FACTOR 2017: 1.162

CiteScore 2017: 1.41

SCImago Journal Rank (SJR) 2017: 0.382
Source Normalized Impact per Paper (SNIP) 2017: 0.636

Mathematical Citation Quotient (MCQ) 2017: 0.12

See all formats and pricing
More options …
Volume 14, Issue 6


Consensus Recovery from Intentional Attacks in Directed Nonlinear Multi-agent Systems

Yilun Shang
  • Corresponding author
  • SUTD-MIT International Design Center, Singapore University of Technology and Design, 138682, Singapore
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2013-08-28 | DOI: https://doi.org/10.1515/ijnsns-2011-0015


Resilience or recovery of multi-agent systems against attacks is believed to be one of the most important topics in control and management of complex systems. Previous studies have mainly focused on the random failure and intentional attack targeted on node degrees, whereas consensus recovery is much less investigated. In this paper, two kinds of targeted attacks are introduced and corresponding recovery strategies are proposed to address the consensus recovery of continuous-time nonlinear multi-agent systems under directed topologies against subsequent attacks. The cut-nodes and cut-edges are chosen as the targets of attack, and the multi-agent system becomes disconnected when they are deleted from the system. The neighbor nodes of the cut-node and end nodes of the cut-edge are used to recover the connectivity of the network. It is shown that our proposed strategies can significantly improve the convergence speed of reaching consensus of the resulting multi-agent systems. A cost function is also proposed to compare different recovery strategies.

Keywords: consensus problem; recovery; nonlinear multi-agent system; directed network

About the article

Received: 2011-06-16

Accepted: 2013-06-12

Published Online: 2013-08-28

Published in Print: 2013-10-25

Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 14, Issue 6, Pages 355–361, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2011-0015.

Export Citation

©[2013] by Walter de Gruyter Berlin Boston.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Luca Fraccascia, Ilaria Giannoccaro, and Vito Albino
Complexity, 2018, Volume 2018, Page 1
Andrés Jiménez, Vicente García-Díaz, and Sandro Bolaños
Sensors, 2018, Volume 18, Number 2, Page 417
Yilun Shang
Physical Review E, 2015, Volume 91, Number 4
Acta Mathematica Scientia, 2014, Volume 34, Number 4, Page 1029

Comments (0)

Please log in or register to comment.
Log in