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Stability analysis of certain nonlinear differential equation

Author

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  • Park, Ju H.
  • Kwon, O.M.

Abstract

In this article, a novel stability criterion for all solutions of the neutral equation of the formddt[x(t)+px(t-τ)]+ax(t)-btanhx(t-σ)=0to approach zero at t→∞ is presented. The condition, which is expressed in terms of linear matrix inequality, is delay-dependent and can be easily solved by various efficient convex optimization algorithm.

Suggested Citation

  • Park, Ju H. & Kwon, O.M., 2008. "Stability analysis of certain nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 450-453.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:450-453
    DOI: 10.1016/j.chaos.2006.09.015
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    Cited by:

    1. Janejira Tranthi & Thongchai Botmart & Wajaree Weera & Piyapong Niamsup, 2019. "A New Approach for Exponential Stability Criteria of New Certain Nonlinear Neutral Differential Equations with Mixed Time-Varying Delays," Mathematics, MDPI, vol. 7(8), pages 1-18, August.
    2. Watcharin Chartbupapan & Ovidiu Bagdasar & Kanit Mukdasai, 2020. "A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation," Mathematics, MDPI, vol. 8(1), pages 1-10, January.
    3. Wang, Wansheng & Li, Shoufu & Wang, Wenqiang, 2009. "Contractivity properties of a class of linear multistep methods for nonlinear neutral delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 421-425.
    4. Li, Xiaodi & Deng, Feiqi, 2017. "Razumikhin method for impulsive functional differential equations of neutral type," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 41-49.

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