Impulsively fractional‐order time‐delayed gene regulatory networks: Existence and asymptotic stability-Reference-Cited by-同舟云学术

Impulsively fractional‐order time‐delayed gene regulatory networks: Existence and asymptotic stability

Published:2023-11-28 Issue: Volume: Page:
ISSN:1561-8625
Container-title:Asian Journal of Control
language:en
Short-container-title:Asian Journal of Control

Author:

Arjunan M. Mallika¹,Abdeljawad Thabet²³⁴^ORCID,Pratap A.⁵⁶,Yousef Ali⁷

Affiliation:

1. Department of Mathematics, School of Arts, Science and Humanities SASTRA Deemed University Thanjavur Tamil Nadu India

2. Department of Mathematics and Sciences Prince Sultan University Riyadh Saudi Arabia

3. Department of Medical Research China Medical University Taichung Taiwan

4. Department of Mathematics and Applied Mathematics Sefako Makgatho Health Sciences University Medusa Garankuwa South Africa

5. Department of Computer Science and Mathematics Lebanese American University Beirut Lebanon

6. Research Center for Wind Energy Systems Kunsan National University Jeollabuk‐do Republic of Korea

7. Department of Natural Sciences and Mathematics College of Engineering, International University of Science and Technology in Kuwait Ardyia Kuwait

Abstract

AbstractThis paper presents asymptotic stability criteria for fractional‐order gene regulatory networks (FOGRNs) with impulses, time delays, and two numerical cases to illustrate the applicability of the results. The established system's boundedness, existence, and uniqueness are discussed using the Mittag–Leffler function, homeomorphism theory, and Cauchy–Schwartz inequality. The delay‐independent asymptotic stability criteria for FOGRNs are derived using algebraic and LMI methods, famous inequality techniques, and Lyapunov stability theory.

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/asjc.3269

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