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

• K. Kaliraj ^[1] ; P. K. Lakshmi Priya ^[1] ; C. Ravichandran ^[2]
  1. [1] University of Madras

     University of Madras

     India

     
  2. [2] Kongunadu Arts and Science College,
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

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