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Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality

Author

Listed:
  • Shanmugam Saravanan
  • M. Syed Ali
  • Grienggrai Rajchakit
  • Bussakorn Hammachukiattikul
  • Bandana Priya
  • Ganesh Kumar Thakur
  • Jianquan Lu

Abstract

The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities (LMIs) are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated by numerical results.

Suggested Citation

  • Shanmugam Saravanan & M. Syed Ali & Grienggrai Rajchakit & Bussakorn Hammachukiattikul & Bandana Priya & Ganesh Kumar Thakur & Jianquan Lu, 2021. "Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality," Complexity, Hindawi, vol. 2021, pages 1-21, January.
    • Handle: RePEc:hin:complx:9540548
    DOI: 10.1155/2021/9540548
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    Cited by:

    1. Li, Peiluan & Gao, Rong & Xu, Changjin & Ahmad, Shabir & Li, Ying & Akgül, Ali, 2023. "Bifurcation behavior and PDγ control mechanism of a fractional delayed genetic regulatory model," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Lulu Wu & Feifei Liu & Haibo Gu & Pei Wang, 2022. "Adaptive Finite-Time Control of Stochastic Genetic Regulatory Networks with Time-Varying Delays," Mathematics, MDPI, vol. 10(21), pages 1-17, November.

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