Minimal controllability of conjunctive Boolean networks is NP-complete

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Given a conjunctive Boolean network (CBN) with n state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is controllable. We give a necessary and sufficient condition for controllability of a CBCN; an O(n2)-time algorithm for testing controllability; and prove that nonetheless the minimal controllability problem for CBNs is NP-hard.

Original languageEnglish
Pages (from-to)56-62
Number of pages7
StatePublished - Jun 2018

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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