Finite-Time Stability Analysis of Fractional Delay Systems

Ahmed M. Elshenhab; Xingtao Wang; Clemente Cesarano; Barakah Almarri; Osama Moaaz

doi:10.3390/math10111883

Finite-Time Stability Analysis of Fractional Delay Systems

Ahmed M. Elshenhab^*
, Xingtao Wang
, Clemente Cesarano^*
, Barakah Almarri
, Osama Moaaz

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
Mansoura University
International Telematic University Uninettuno
Princess Nourah Bint Abdulrahman University
Qassim University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Nonhomogeneous systems of fractional differential equations with pure delay are con-sidered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.

Original language	English
Article number	1883
Journal	Mathematics
Volume	10
Issue number	11
DOIs	https://doi.org/10.3390/math10111883
State	Published - 1 Jun 2022
Externally published	Yes

Keywords

delayed Mittag-Leffler matrix function
finite time stability
fractional delay systems
fractional derivative

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10.3390/math10111883

Cite this

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title = "Finite-Time Stability Analysis of Fractional Delay Systems",

abstract = "Nonhomogeneous systems of fractional differential equations with pure delay are con-sidered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.",

keywords = "delayed Mittag-Leffler matrix function, finite time stability, fractional delay systems, fractional derivative",

author = "Elshenhab, \{Ahmed M.\} and Xingtao Wang and Clemente Cesarano and Barakah Almarri and Osama Moaaz",

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T1 - Finite-Time Stability Analysis of Fractional Delay Systems

AU - Elshenhab, Ahmed M.

AU - Wang, Xingtao

AU - Cesarano, Clemente

AU - Almarri, Barakah

AU - Moaaz, Osama

PY - 2022/6/1

Y1 - 2022/6/1

N2 - Nonhomogeneous systems of fractional differential equations with pure delay are con-sidered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.

AB - Nonhomogeneous systems of fractional differential equations with pure delay are con-sidered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.

KW - delayed Mittag-Leffler matrix function

KW - finite time stability

KW - fractional delay systems

KW - fractional derivative

UR - https://www.scopus.com/pages/publications/85132012209

U2 - 10.3390/math10111883

DO - 10.3390/math10111883

M3 - 文章

AN - SCOPUS:85132012209

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 11

M1 - 1883

ER -

Finite-Time Stability Analysis of Fractional Delay Systems

Abstract

Keywords

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