Finite-Interval Stability Analysis of Impulsive Fractional-Delay Dynamical System

被引：1
作者：
Kaliraj, K. [1 ]
Priya, P. K. Lakshmi [1 ]
Nieto, Juan J. [2 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, India
[2] Univ Santiago Compostela, Dept Estat Anal Matemat & Optimizac, CITMAga, Santiago De Compostela 15782, Spain
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 06期
关键词：
fractional delay system; Gronwall's inequality; finite-time stability; delayed Mittag-Leffler function; TIME STABILITY;
D O I：
10.3390/fractalfract7060447
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Stability analysis over a finite time interval is a well-formulated technique to study the dynamical behaviour of a system. This article provides a novel analysis on the finite-time stability of a fractional-order system using the approach of the delayed-type matrix Mittag-Leffler function. At first, we discuss the solution's existence and uniqueness for our considered fractional model. Then standard form of integral inequality of Gronwall's type is used along with the application of the delayed Mittag-Leffler argument to derive the sufficient bounds for the stability of the dynamical system. The analysis of the system is extended and studied with impulsive perturbations. Further, we illustrate the numerical simulations of our analytical study using relevant examples.
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页数：17
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