Global stability of delayed genetic regulatory networks with wider hill functions: A mixing monotone semiflows approach

Finite‐time stability of reaction–diffusion genetic regulatory networks with nondifferential time‐varying mixed delays

“…Corollary 1. In case that Hypotheses 1 and 2 hold, system (25) is finite-time stabilized under controller (26), if positive constants e 1m , e 2m , e 3m , e 4m , 𝜚, and 𝜔 exist such that for m, n ∈ Q,…”

“…Therefore, it is essential to study the stability of delayed genetic regulatory networks (DGRNs). However, the concentrations of reactants such as mRNAs and proteins are not only related to the current time but also to the past moments, thus involving discrete delays (DDs) in the stability analysis of GRNs [21][22][23][24][25][26] is of great significance.…”

“…It is important to highlight that the research papers mentioned earlier [25,[29][30][31][37][38][39][40] primarily focus on the asymptotic and exponential stability of GRNs, where the system states converge to the equilibrium point over an infinite-time horizon. However, it should be noted that finite-time stability (FTS) offers several advantages, including a faster convergence rate and improved disturbance rejection capabilities, compared to asymptotic and exponential stability [41].…”