Skip to main content

Detectability of Boolean Control Networks

  • Chapter
  • First Online:
Discrete-Time and Discrete-Space Dynamical Systems

Part of the book series: Communications and Control Engineering ((CCE))

  • 657 Accesses

Abstract

In Chap. 4, we discuss observability of Boolean control networks (BCNs). Intuitively, a BCN is observable if one can use an input sequence and the corresponding output sequence to determine the initial state. Once the initial state has been obtained, all subsequent states can be determined by input sequences since a BCN is deterministic.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Notes

  1. 1.

    Parts of Sects. 5.2, 5.3, and 5.4 were reproduced from Zhang et al. (2016) with permission @ 2016 Society for Industrial and Applied Mathematics.

References

  • Eppstein D (1990) Reset sequences for monotonic automata. SIAM J Comput 19(3):500–510

    Article  MathSciNet  Google Scholar 

  • Fornasini E, Valcher ME (2013) Observability, reconstructibility and state observers of Boolean control networks. IEEE Trans Autom Control 58(6):1390–1401

    Article  MathSciNet  Google Scholar 

  • Kari J (2003) Synchronizing finite automata on Eulerian digraphs. Theor Comput Sci 295(1):223–232

    Article  MathSciNet  Google Scholar 

  • Linz P (2006) An introduction to formal language and automata. Jones and Bartlett Publishers Inc, USA

    MATH  Google Scholar 

  • Sandberg S (2005) Homing and synchronizing sequences. In: Broy M et al (eds) Model-based testing of reactive systems: advanced lectures. Springer, Berlin, pp 5–33

    Chapter  Google Scholar 

  • Zhang K, Zhang L, Su R (2016) A weighted pair graph representation for reconstructibility of Boolean control networks. SIAM J Control Optim 54(6):3040–3060

    Article  MathSciNet  Google Scholar 

  • Zhang Z, Leifeld T, Zhang P (2017) Identification of Boolean control networks incorporating prior knowledge. In: 2017 IEEE 56th annual conference on decision and control (CDC), pp. 5839–5844

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kuize Zhang .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhang, K., Zhang, L., Xie, L. (2020). Detectability of Boolean Control Networks. In: Discrete-Time and Discrete-Space Dynamical Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-25972-3_5

Download citation

Publish with us

Policies and ethics