Efficient Analysis to Protect Control into Critical Infrastructures

  • Shuo ZhangEmail author
  • Stephen D. Wolthusen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11260)


To protect control into critical infrastructures against single component-dependency attacks or failures, we analyse the importance of any given dependency in maintaining controllability with a minimum set of inputs. Since people use critical, redundant and ordinary categories to clarify how an edge maintains controllability of linear time-invariant(LTI) dynamical networks, according to graph-based models of infrastructures and the minimum input theorem, we firstly use a Erdős-Rényi random digraph with a precomputed maximum matching to model some LTI and controllable infrastructures by a minimum set of inputs. We then efficiently analyse any given arc’s category before and during single-arc removals, as a way to further confirm how related dependency keeps control into infrastructures. After running our label operations with linear time and space complexity, any edge-category analysis can be thus executed in O(1) time in both cases.


Network controllability Modelling Edge classification 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematics and Information SecurityRoyal Holloway University of LondonEghamUK

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