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

被引:0
作者
K. Kaliraj
P. K. Lakshmi Priya
C. Ravichandran
机构
[1] University of Madras,Ramanujan Institute for Advanced Study in Mathematics
[2] Kongunadu Arts and Science College,Department of Mathematics
来源
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词
Fractional delay system; Neutral differential system; Finite-time stability; Multi-state time delay; 34A08; 37C25; 34K10; 34K37;
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学科分类号
摘要
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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