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An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions

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Abstract

The article deals with the analysis of finite time stability (FTS) of multi state neutral fractional order systems with impulsive perturbations and state delays. FTS studies about the trajectories of a dynamical system which converge to equilibrium state in a short period of time. Gronwall’s inequality is used as a main tool to derive the FTS conditions. The obtained theoretical results are validated with appropriate numerical simulations.

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Authors and Affiliations

  1. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, Tamil Nadu, 600 005, India

    K. Kaliraj & P. K. Lakshmi Priya

  2. Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, 641 029, India

    C. Ravichandran

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  1. K. Kaliraj
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  2. P. K. Lakshmi Priya
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  3. C. Ravichandran
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Correspondence to K. Kaliraj.

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Kaliraj, K., Priya, P.K.L. & Ravichandran, C. An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions. Qual. Theory Dyn. Syst. 21, 161 (2022). https://doi.org/10.1007/s12346-022-00694-8

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