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

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

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 inequal...

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Veröffentlicht in:Qualitative theory of dynamical systems 2022-12, Vol.21 (4), Article 161
Hauptverfasser: Kaliraj, K., Priya, P. K. Lakshmi, Ravichandran, C.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematical models
Mathematics
Mathematics and Statistics
Perturbation
Stability analysis
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Zusammenfassung: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00694-8