Delay-dependent asymptotic stability criteria for genetic regulatory networks with impulsive perturbations

Impulsive Fractional Differential Inclusions and Almost Periodic Waves

“…. Due to their importance in biology, neuroscience, medicine, etc., GRNs have been widely studied for α = 1 and some interesting results have been obtained, as shown in references [62][63][64][65][66], including impulsive GRNs [67][68][69].…”

“…Remark 6. In the above example, we generalize the GRN models proposed in [62][63][64][65][66][67][68][69] to the case of fractional-order inclusions.…”

Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals

“…Time delays in mathematical systems have received attention from researchers in the stability analysis which provide a poor performance or even instability of the relevant system [9][10][11][12][13][14][15]. In this reason, the stability analysis problems of genetic regulatory network with time delay have been reported in the literature [6,8,[16][17][18][19][20][21][22][23][24][25][26][27][28]. ey proposed new stability condition and reduced the possible conservativeness caused by the time delay.…”

“…e global asymptotic stability of GRN with SUM regulatory functions has been studied [16,20,21,25,26]. An increasing number of research studies about more complex modelled GRNs has been received attention in the following years, e.g., GRNs with distributed delayed [27], GRNs with nonlinear disturbance [17], leakage delay involved GRNS [22], and impulsive perturbation [24]. e stability problems of GRNs, such as stochastic stability [19], robust stability [18], exponential convergence analysis [28], and discrete-time stochastic stability [6,23] have been also reported in the literature.…”

An advanced delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays

“…In GRNs, Wang et al [32] analyzed the nonlinear disturbance and time-varying delays using delay-dependent approach. In [24], the authors discussed the impulsive perturbations in genetic regulatory networks using delaydependent method. In [33], Wang et al investigated the uncertain genetic regulatory networks with time-varying delays in the sense of robust stability analysis.…”