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A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation

Author

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  • Watcharin Chartbupapan

    (Department of Mathematics, Faculty of Science, Khon Kaen University, khon Kaen 40002, Thailand)

  • Ovidiu Bagdasar

    (Department of Electronics, Computing and Mathematics, University of Derby, Derby DE22 1GB, UK)

  • Kanit Mukdasai

    (Department of Mathematics, Faculty of Science, Khon Kaen University, khon Kaen 40002, Thailand)

Abstract

The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied. We describe the new asymptotic stability criterion in the form of linear matrix inequalities (LMIs), using the application of zero equations, model transformation and other inequalities. Then we show the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with constant delays. Furthermore, we not only present the improved delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with single constant delay but also the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral equation with constant delays. Numerical examples are exploited to represent the improvement and capability of results over another research as compared with the least upper bounds of delay and nonlinear perturbation.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:82-:d:305040
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    References listed on IDEAS

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    5. Saima Rashid & Thabet Abdeljawad & Fahd Jarad & Muhammad Aslam Noor, 2019. "Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications," Mathematics, MDPI, vol. 7(9), pages 1-18, September.
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    Cited by:

    1. Ravi P. Agarwal & Snezhana Hristova & Donal O’Regan, 2023. "Inequalities for Riemann–Liouville-Type Fractional Derivatives of Convex Lyapunov Functions and Applications to Stability Theory," Mathematics, MDPI, vol. 11(18), pages 1-23, September.

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