JACIII Vol.21 No.1 pp. 148-152
doi: 10.20965/jaciii.2017.p0148

Short Paper:

Stability and Synchronization Control of Fractional-Order Gene Regulatory Network System with Delay

Feng Liu*,†, Zhe Zhang*, Xinmei Wang*, and Fenglan Sun**

*School of Automation, China University of Geosciences
Wuhan 430074, China

**Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications
Chongqing, 400065, China
Corresponding author

July 7, 2016
October 21, 2016
Online released:
January 20, 2017
January 20, 2017
stability, synchronization, fractional-order, gene regulatory network system

This study investigated the stability and synchronization control of a fractional-order gene regulatory network system (GRNS). By applying the like-Lyapunov stability judgment method, the criteria of stability and synchronization control of a GRNS is determined. Further, the numerical simulation verifies the effectiveness of the method.

  1. [1] C. Luo and X. Wang, “Chaos in the fractional-order complex Lorenz system and its synchronization,” Nonlinear Dyn, Vol.71, pp. 241-257, 2013.
  2. [2] D. Chen, R. Zhang, X. Liu, and X. Ma, “Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks,” Commun. Nonlear SCI, Vol.9, pp. 4105-4121, 2014.
  3. [3] L. Chen, R. Wu, J. Cao, and J. Liu, “Stability and synchronization of memristor-based fractional-order delayed neural networks,” Neural Networks, Vol.71, pp. 37-44, 2015.
  4. [4] J. Sun, Q. Han, and X. Jiang, “Impulsive control of time-delay systems using delayed impulse and its application to impulsive master-slave synchronization,” Physics Letters A, Vol.372, pp. 6375-6380, 2008.
  5. [5] C. Li, X. Liao, and X. Yang, “Impulsive stabilization and synchronization of a class of chaotic delay systems,” Chaos, Vol.15, 043103, 2005.
  6. [6] Y. Wang, W. Yang, J. Xiao, and Z. Zeng, “Impulsive Multi-Synchronization of Coupled Multistable Neural Networks with Time-Varying Delay,” IEEE T NEUR NET LEAR, DOI: 10.1109/TNNLS.2016,2544788, 2016.
  7. [7] Y. Li, Y. Chen, and I. Podlubny, “Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability,” Comp. & Math. Applic, Vol.59, pp. 1810-1821, 2010.
  8. [8] X. J. Wen, Z. M. Wu, and J. G. Lu, “Stability analysis of a class of nonlinear fractional-order systems,” IEEE Trans. Circuits Syst. II, Vol.55, pp. 1178-1182, 2008.
  9. [9] C. Corduneanu, “Principles of Differential and Integral Equations,” Ams Chelsea Publishing, Boston, 1971.

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Last updated on Mar. 28, 2017