Finite‐Time Stability Analysis of Switched Genetic Regulatory Networks with Time‐Varying Delays via Wirtinger’s Integral Inequality

Abstract

The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities (LMIs) are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated by numerical results.

Adaptive Finite-Time Control of Stochastic Genetic Regulatory Networks with Time-Varying Delays

“…In 2019, Wang et al considered the stability problem of uncertain GRN with time-varying delay and reaction-diffusion terms [46]. In 2021, Saravanan et al discussed the finite-time stability of switched GRNs using Wirtinger's integral inequality, a reciprocally convex combination technique [48]. The above literature has studied the stability of gene regulatory networks from the aspects of input-state stability, finite-time stability, etc., under the conditions of time delay, randomness, and switching.…”

Finite-Time MixedH∞/Passivity for Neural Networks With Mixed Interval Time-Varying Delays Using the Multiple Integral Lyapunov-Krasovskii Functional

“…At present, Amato, Ariola, and Dorato [43] extend the finite-time stability to finite-time stability with the external disturbances, which is called the finitetime boundedness. In addition, many types of research have been widely developed in the field of finite-time stability for time-varying delay with neural networks as in [44]- [50]. Also, finite-time boundedness has been extensively studied in [1], [4], [51]- [53].…”

New criteria on the finite-time stability of fractional-order BAM neural networks with time delay

“…Unlike Lyapunov stability, the finite-time stability is concerned with the behavior of a system over a finite interval. It is getting more and more attention owing to its practicality [32][33][34][35][36]. By utilizing the fractional comparison principle, Zhang et al studied the finite-time impulsive synchronization of the FBAMNNs with switching jumps mismatch in [37].…”