Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

On pinning reachability of probabilistic Boolean control networks

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Kauffman S A. Metabolic stability and epigenesis in randomly constructed genetic nets. J Theory Biol, 1969, 22: 437–467

    Article  MathSciNet  Google Scholar 

  2. Davidson E H. A genomic regulatory network for development. Science, 2002, 295: 1669–1678

    Article  Google Scholar 

  3. Shmulevich I, Dougherty E R, Kim S, et al. Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks. Bioinformatics, 2002, 18: 261–274

    Article  Google Scholar 

  4. Lu J Q, Li M L, Liu Y, et al. Nonsingularity of Grainlike cascade FSRs via semi-tensor product. Sci China Inf Sci, 2018, 61: 010204

    Article  MathSciNet  Google Scholar 

  5. Wang L Q, Liu Y, Wu Z G, et al. Strategy optimization for static games based on STP method. Appl Math Comput, 2018, 316: 390–399

    Article  MathSciNet  MATH  Google Scholar 

  6. Li R, Yang M, Chu T G. State feedback stabilization for probabilistic Boolean networks. Automatica, 2014, 50: 1272–1278

    Article  MathSciNet  MATH  Google Scholar 

  7. Zhu Q X, Liu Y, Lu J Q, et al. Observability of Boolean control networks. Sci China Inf Sci, 2018, 61: 092201

    Article  MathSciNet  Google Scholar 

  8. Wu Y H, Shen T L. An algebraic expression of finite horizon optimal control algorithm for stochastic logical dynamical systems. Syst Control Lett, 2015, 82: 108–114

    Article  MathSciNet  MATH  Google Scholar 

  9. Qi H S, Cheng D Z. Analysis and control of Boolean networks: a semi-tensor product approach. In: Proceedings of the 7th Asian Control Conference, 2009

Download references

Acknowledgements

This work was supported by Zhejiang Provincial Natural Science Foundation (Grant No. LD19A010001), National Natural Science Foundation of China (Grant Nos. 11671361, 61573096, 61833005), China Postdoctoral Science Foundation (Grant Nos. 2016T90406, 2015M580378), and in part supported by Jiangsu Provincial Key Laboratory of Networked Collective Intelligence (Grant No. BM2017002).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinde Cao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Y., Cao, J., Wang, L. et al. On pinning reachability of probabilistic Boolean control networks. Sci. China Inf. Sci. 63, 169201 (2020). https://doi.org/10.1007/s11432-018-9575-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-018-9575-4

Navigation