On the practical stability of h-manifolds for impulsive fractional-order gene regulatory networks

Abstract

We study a fractional-order generalization of a class of impulsive gene regulatory networks (GRNs). The concept of stability with respect to a manifold is introduced. The stable behavior of specific manifolds defined by a function h with respect to the model is investigated, and sufficient conditions are proposed by constructing suitable Lyapunov-type functions. The control effects of impulsive perturbations at fixed times on the stability behavior are discussed.