Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations

Advances in Difference Equations

J. Alzabut¹  S. Senthilraj²  T. Saravanakumar³  R. Raja⁴ 

[1] Department of Mathematics and General Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia;Department of Industrial Engineering, OSTİM Technical University, 06374, Ankara, Turkey;Department of Mathematics, Velalar College of Engineering and Technology, 638 012, Erode, India;Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam;Department of Mathematics, Kaamadhenu Arts and Science College, 638 503, Sathyamangalam, Erode, India;Ramanujan Centre for Higher Mathematics, Alagappa University, 630 004, Karaikudi, India;

关键词: Stochastic GRNs;    Impulses;    Leakage delay;    Passivity;    Distributed delay;   

DOI  :  10.1186/s13662-021-03504-8

来源: Springer

【 摘 要 】

This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria under impulsive perturbations such that the proposed GRNs are stochastically stable. Based on the Lyapunov functional method and Jensen’s integral inequality, we obtain a new set of novel passivity based delay-dependent sufficient condition in the form of LMIs, which can be determined via existing numerical software. Finally, we propose numerical simulations to show the efficiency of the proposed method.

【 授权许可】

CC BY