Robust uniform stability criteria for fractional-order gene regulatory networks with leakage delays

Mani Mallika Arjunan; Pratap Anbalagan; Qasem Al-Mdallal

doi:10.1002/mma.8255

Robust uniform stability criteria for fractional-order gene regulatory networks with leakage delays

Mani Mallika Arjunan, Pratap Anbalagan, Qasem Al-Mdallal

Department of Mathematical Sciences

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

8 Citations (Scopus)

Abstract

In this paper, we aim to establish the uniform stability criteria for fractional-order time-delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay-dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.

Original language	English
Pages (from-to)	8372-8389
Number of pages	18
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	7
DOIs	https://doi.org/10.1002/mma.8255
Publication status	Published - May 15 2023

Keywords

existence and uniqueness
fractional-order
gene regulatory networks
uniform stability

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)

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10.1002/mma.8255

Cite this

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abstract = "In this paper, we aim to establish the uniform stability criteria for fractional-order time-delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay-dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.",

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Y1 - 2023/5/15

N2 - In this paper, we aim to establish the uniform stability criteria for fractional-order time-delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay-dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.

AB - In this paper, we aim to establish the uniform stability criteria for fractional-order time-delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay-dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.

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Robust uniform stability criteria for fractional-order gene regulatory networks with leakage delays

Abstract

Keywords

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