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

Autor:	Nieto, K. Kaliraj, P. K. Lakshmi Priya, Juan J.
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional delay system Gronwall’s inequality finite-time stability delayed Mittag-Leffler function
Zdroj:	Fractal and Fractional; Volume 7; Issue 6; Pages: 447
ISSN:	2504-3110
DOI:	10.3390/fractalfract7060447
Popis:	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.
Databáze:	OpenAIRE
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