Skip to main content

Robustness of Network Controllability to Degree-Based Edge Attacks

  • Conference paper
  • First Online:
Complex Networks & Their Applications V (COMPLEX NETWORKS 2016 2016)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 693))

Included in the following conference series:

Abstract

We analyze the tolerance of network controllability to degree-based edge attacks as well as random edge failure. In particular, we leverage both control-based and reachability-based robustness metrics to investigate the case when a fixed number of controls are allowed to change locations following each attack. This ability to change the locations of controls models the more realistic scenario in which operators may have a fixed budget of resources but that these resources can be redeployed in response to attacks on the system. We also identify that the most potent targeted attack for network controllability selects edges (on average) based on betweenness centrality.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albert, R., Jeong, H., Barabasi, A.: Error and attack tolerance of complex networks. Nature 406(6794), 378–382 (2000)

    Google Scholar 

  2. Barabási, A.L., Albert, R.: Emergence of scaling in random networks (1999)

    Google Scholar 

  3. Brockett, R.: Finite dimensional linear systems. Series in decision and control. Wiley (1970)

    Google Scholar 

  4. Callaway, D.S., Newman, M.E.J., Strogatz, S.H.,Watts, D.J.: Network robustness and fragility: percolation on random graphs. Physical Review Letters 85(25), 5468–5471 (2000)

    Google Scholar 

  5. Commault, C., Dion, J.M., Van der Woude, J.W.: Characterization of generic properties of linear structured systems for efficient computations. Kybernetika 38(5), 503–520 (2002)

    Google Scholar 

  6. Dion, J.M., Commault, C., van der Woude, J.: Generic properties and control of linear structured systems: a survey. Automatica 39(7), 1125–1144 (2003)

    Google Scholar 

  7. Erdos, P., Renyi, A.: On random graphs i. Publicationes Mathematicae (Debrecen) 6, 290–297 (1959)

    Google Scholar 

  8. Hosoe, S.: Determination of the generic dimensions of controllable subspaces and its applications. IEEE Transactions on Automatic Control 25(6), 1192–1196 (1980)

    Google Scholar 

  9. Lin, C.T.: Structural controllability. IEEE Transactions on Automatic Control AC-19(3), 201–208 (1974)

    Google Scholar 

  10. Liu, Y.Y., Slotine, J.J., Barabási, A.L.: Controllability of Complex Networks. Nature 473(7346), 167–173 (2011)

    Google Scholar 

  11. Mengiste, S., Arvind, A., Kumar, A.: Effect of edge pruning on structural controllability and observability of complex networks. Scientific Reports 5(18145), 4420–4425 (2015)

    Google Scholar 

  12. Murota, K., Poljak, S.: Note on a Graph-Theoretic Criterion for Structural Output Controllability. IEEE Transactions on Automatic Control 35(8), 939–942 (1990)

    Google Scholar 

  13. Newman, M.: Networks: an introduction. OUP Oxford (2010)

    Google Scholar 

  14. Nie, S., Wang, X., Zhang, H., Li, Q., Wang, B.: Robustness of controllability for networks based on edge-attack. Plos One 9(2), e89,066 (2014)

    Google Scholar 

  15. Parekh, D., Ruths, D., Ruths, J.: Reachability-based robustness of network controllability under node and edge attacks. In: Signal-Image Technology and Internet-Based Systems (SITIS), 2014 Tenth International Conference on, pp. 424–431 (2014). DOI 10.1109/SITIS.2014.100

    Google Scholar 

  16. Poljak, S.: On the generic dimension of controllable subspaces. IEEE Transactions on Automatic Control 35(3), 367–369 (1990)

    Google Scholar 

  17. Pósfai, M., Liu, Y., Slotine, J.E., Barabási, A.: Effect of correlations on network controllability. Scientific Reports 3 (2013)

    Google Scholar 

  18. Pu, C.L., Pei, W.J., Michaelson, A.: Robustness analysis of network controllability. Physica A: Statistical Mechanics and its Applications 391(18), 4420–4425 (2012)

    Google Scholar 

  19. Ruths, J., Ruths, D.: Control Profiles of Complex Networks. Science 343(6177) (2014)

    Google Scholar 

  20. Shields, R.W., Pearson, J.B.: Structural controllability on multiinput liner systems. IEEE Transactions on Automatic Control AC-21(2), 203–212 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Supratim Ghosh .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Thomas, J., Ghosh, S., Parek, D., Ruths, D., Ruths, J. (2017). Robustness of Network Controllability to Degree-Based Edge Attacks. In: Cherifi, H., Gaito, S., Quattrociocchi, W., Sala, A. (eds) Complex Networks & Their Applications V. COMPLEX NETWORKS 2016 2016. Studies in Computational Intelligence, vol 693. Springer, Cham. https://doi.org/10.1007/978-3-319-50901-3_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-50901-3_42

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50900-6

  • Online ISBN: 978-3-319-50901-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics