New results for dynamical analysis of fractional-order gene regulatory networks with time delay and uncertain parameters

Shenglong Chen, Jikai Yang, Zhiming Li, Hong-Li Li and Cheng Hu

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

Abstract: In this paper, a novel class of networks named fractional-order gene regulatory networks with time delay and uncertain parameters (FGRNTDUP) are formulated, and some new results are obtained for the dynamics of FGRNTDUP. Firstly, a general fractional-order differential equality is built to supply a new viewpoint about the study of finite-time stability, stabilization, and synchronization for many fractional systems. Secondly, based on contraction mapping principle, the existence and uniqueness of the equilibrium point are strictly proved for the FGRNTDUP. Meanwhile, by virtue of fractional Lyapunov method and inequality techniques, some sufficient conditions are derived to guarantee the global Mittag–Leffler stability of FGRNTDUP. Moreover, based on a newly developed inequality, some novel criteria are yielded to realize the finite-time synchronization of FGRNTDUP by designing a suitable adaptive controller. Finally, two numerical examples are provided to verify the effectiveness of the obtained results.

Keywords: Fractional-order gene regulatory networks; Global Mittag–Leffler stability; Finite-time synchronization; Time delay; Uncertain parameters (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009426

DOI: 10.1016/j.chaos.2023.114041

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