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

被引：10
作者：
Arjunan, Mani Mallika [1 ]
Anbalagan, Pratap [2 ,3 ]
Al-Mdallal, Qasem [4 ]
机构：
[1] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur, India
[2] Alagappa Univ, Dept Math, Karaikkudi, Tamil Nadu, India
[3] Kunsan Natl Univ, Res Ctr Wind Energy Syst, Gunsan, South Korea
[4] UAE Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 07期
关键词：
fractional-order; gene regulatory networks; uniform stability; existence and uniqueness; MITTAG-LEFFLER STABILITY; STATE ESTIMATION; NEURAL-NETWORKS; SYNCHRONIZATION; BIFURCATION; SYSTEMS;
D O I：
10.1002/mma.8255
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：8372 / 8389
页数：18
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