<p>This article focuses on the global exponential stability (GES) analysis of impulsive gene regulatory networks (GRNs) with distributed delays. While many prior studies have primarily addressed the asymptotic stability of GRNs, this study specifically investigates the GES of GRNs with distributed delays under impulsive effects. By applying Young’s inequality and using Lyapunov function, several novel conditions are derived for the GES of the considered GRNs. Numerical simulations are provided to validate the theoretical results.</p>

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Impulsive gene regulatory networks with distributed delays: a global exponential stability approach

  • S. Logeswari,
  • R. Sriraman

摘要

This article focuses on the global exponential stability (GES) analysis of impulsive gene regulatory networks (GRNs) with distributed delays. While many prior studies have primarily addressed the asymptotic stability of GRNs, this study specifically investigates the GES of GRNs with distributed delays under impulsive effects. By applying Young’s inequality and using Lyapunov function, several novel conditions are derived for the GES of the considered GRNs. Numerical simulations are provided to validate the theoretical results.