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Observability and Detectability of Large-Scale Boolean Control Networks

  • Kuize ZhangEmail author
  • Lijun Zhang
  • Lihua Xie
Chapter
Part of the Communications and Control Engineering book series (CCE)

Abstract

In Chaps.  4 and  5, we investigated how to verify different notions of observability and detectability for Boolean control networks (BCNs), and also studied how to determine the initial state (current state) of a BCN according to a particular notion of observability (detectability). In addition, we proved that the problems of verifying these notions are all NP-hard in the number of nodes. Hence, these problems are generally intractable. Actually, in general, for a BCN with more than 30 nodes, one cannot obtain whether it is observable or detectable in a reasonable amount of time by using a personal computer (PC). Hence BCNs with more than 30 nodes can be regarded as large-scale.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of Electrical Engineering and Computer ScienceKTH Royal Institute of TechnologyStockholmSweden
  2. 2.School of Marine Science and TechnologyNorthwestern Polytechnical UniversityXi’anChina
  3. 3.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingaporeSingapore

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