Skip to main content

State Estimation for Delayed GRNs

  • Chapter
  • First Online:
  • 260 Accesses

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 207))

Abstract

Usually, not all states information (that is, mRNA and protein concentrations) of GRNs are measurable, we have to estimate unmeasured state information by making use of the effective network outputs.

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

Buying options

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
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

Learn about institutional subscriptions

References

  1. Anbuvithya, R., Mathiyalagan, K., Sakthivel, R., Prakash, P.: Sampled-data state estimation for genetic regulatory networks with time-varying delays. Neurocomputing 151, 737–744 (2015)

    Article  Google Scholar 

  2. Lakshmanan, S., Park, H., Jung, H.Y., Balasubramaniam, P., Lee, S.M.: Design of state estimator for genetic regulatory networks with time-varying delays and randomly occurring uncertainties. Biosystems 111(1), 51–70 (2013)

    Article  Google Scholar 

  3. Lee, T.H., Lakshmanan, S., Park, J.H., Balasubramaniam, P.: State estimation for genetic regulatory networks with mode-dependent leakage delays, time-varying delays, and Markovian jumping parameters. IEEE Trans. Nanobiosci. 12(4), 363–375 (2013)

    Article  Google Scholar 

  4. Liang, J.L., Lam, J.: Robust state estimation for stochastic genetic regulatory networks. Int. J. Syst. Sci. 41(1), 47–63 (2010)

    Article  MathSciNet  Google Scholar 

  5. Liang, J.L., Lam, J., Wang, Z.D.: State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates. Phys. Lett. A 373(47), 4328–4337 (2009)

    Article  MathSciNet  Google Scholar 

  6. Lv, B., Liang, J.L., Cao, J.D.: Robust distributed state estimation for genetic regulatory networks with Markovian jumping parameters. Commun. Nonlinear Sci. Numer. Simul. 16(10), 4060–4078 (2011)

    Article  MathSciNet  Google Scholar 

  7. Mohammadian, M., Momeni, H.R., Karimi, H.S., Shafikhani, I., Tahmasebi, M.: An LPV based robust peak-to-peak state estimation for genetic regulatory networks with time varying delay. Neurocomputing 160, 261–273 (2015)

    Article  Google Scholar 

  8. Sun, J., Liu, G.P., Chen, J.: Delay-dependent stability and stabilization of neutral time-delay systems. Int. J. Robust Nonlinear Control 19(12), 1364–1375 (2009)

    Article  MathSciNet  Google Scholar 

  9. Tian, L.P., Wang, Z.J., Mohammadbagheri, A., Wu, F.X.: State observer design for delayed genetic regulatory networks. Comput. Math. Meth. Med. 2014 (Article ID 761562, 7 pages, 2014)

    MathSciNet  MATH  Google Scholar 

  10. Vembarasan, V., Nagamani, G., Balasubramaniam, P., Park, J.H.: State estimation for delayed genetic regulatory networks based on passivity theory. Math. Biosci. 244(2), 165–175 (2013)

    Article  MathSciNet  Google Scholar 

  11. Wu, Y.W., Hu, L.J., Rong, C.G., Sheng, D.Z., He, Z.Q.: Estimating uncertain delayed genetic regulatory networks: an adaptive filtering approach. IEEE Trans. Autom. Control 54(4), 892–897 (2009)

    Article  MathSciNet  Google Scholar 

  12. Xue, Y., Cui, S.C., Zhang, X.: Design of state observer for genetic regulatory networks with interval time-varying delays. In: Proceedings of the 34th Chinese Control Conference (CCC), pp. 2901–2906 (2015)

    Google Scholar 

  13. Zhang, X., Fan, X., Wu, L.: Reduced- and full-order observers for delayed genetic regulatory networks. IEEE Trans. Cybern. 48(7), 1989–2000 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xian Zhang .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhang, X., Wang, Y., Wu, L. (2019). State Estimation for Delayed GRNs. In: Analysis and Design of Delayed Genetic Regulatory Networks. Studies in Systems, Decision and Control, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-030-17098-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-17098-1_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-17097-4

  • Online ISBN: 978-3-030-17098-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics