Stability Analysis for Delayed Switching GRNs

  • Xian ZhangEmail author
  • Yantao Wang
  • Ligang Wu
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 207)


This chapter is concerned with analyzing the global exponential stability of delayed switching GRNs.


  1. 1.
    Hasty, J., Pradines, J., Dolnik, M., Collins, J.: Noise-based switches and amplifiers for gene expression. Proc. Natl. Acad. Sci. 97(5), 2075–2080 (2000)CrossRefGoogle Scholar
  2. 2.
    Liberzon, D.: Switching in Systems and Control. Springer, New York (2003)CrossRefGoogle Scholar
  3. 3.
    Sun, Y., Feng, G., Cao, J.: Stochastic stability of Markovian switching genetic regulatory networks. Phys. Lett. A 373(18), 1646–1652 (2009)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Wang, L., Luo, Z.P., Yang, H.L., Cao, J.: Stability of genetic regulatory networks based on switched systems and mixed time-delays. Math. Biosci. 278, 94–99 (2016)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Wang, X., Ren, C., An, J.: Robust stability of discrete-time randomly switched delayed genetic regulatory networks with known sojourn probabilities. J. Adv. Comput. Intell. Intell. Inf. 20(7), 1094–1102 (2016)CrossRefGoogle Scholar
  6. 6.
    Wu, L., Feng, Z., Zheng, W.X.: Exponential stability analysis for delayed neural networks with switching parameters: average dwell time approach. IEEE Trans. Neural Netw. 21(9), 1396–1407 (2010)CrossRefGoogle Scholar
  7. 7.
    Yao, Y., Liang, J., Cao, J.: Stability analysis for switched genetic regulatory networks: an average dwell time approach. J. Franklin Inst. 348(10), 2718–2733 (2011)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Yin, L.: Finite-time stability analysis of switched genetic regulatory networks. J. Appl. Math. (Article ID 768483, 11 pages, 2014)Google Scholar
  9. 9.
    Yu, T.T., Liu, J.X., Zeng, Y., Zhang, X., Zeng, Q.S., Wu, L.G.: Stability analysis of genetic regulatory networks with switching parameters and time delays. IEEE Trans. Neural Netw. Learn. Syst. 29(7), 3047–3058 (2018)Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematical ScienceHeilongjiang UniversityHarbinChina
  2. 2.School of AstronauticsHarbin Institute of TechnologyHarbinChina

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