Recovering Structural Controllability on Erdős-Rényi Graphs in the Presence of Compromised Nodes

  • Bader Alwasel
  • Stephen D. WolthusenEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9578)


Large-scale distributed control systems such as those encountered in electric power networks or industrial control systems must be assumed to be vulnerable to attacks in which adversaries can take over control at least part of the control network by compromising a subset of nodes. We investigate Structural Controllability properties of the control graph in Linear Time-Invariant systems (LTI), addressing the question of how to efficiently re-construct a control graph as far as possible in the presence of such compromised nodes. We study the case of sparse Erdős-Rényi Graphs with directed control edges and seek to provide an approximation of an efficient reconstructed control graph while minimising control graph diameter. The approach is based on a Block Decomposition of a directed graph, allowing to identify cut-vertices and cut-edge. This results in faster re-construction of Power Dominating Set (PDS) structure, and ultimately the re-gaining of control for operators of control systems by applying three phases.


Structural controllability Control systems resilience Power Dominating Set 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.School of Mathematics and Information SecurityRoyal Holloway, University of LondonEghamUK
  2. 2.Norwegian Information Security Laboratory, Faculty of Computer ScienceGjøvik University CollegeGjøvikNorway
  3. 3.Community College of UnaizahQassim UniversityBuraydahKingdom of Saudi Arabia

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