Finite-Time Stability of Genetic Regulatory Networks With Nondifferential Delays

Abstract

Studying the stability of genetic regulatory networks (GRNs) helps to explore the laws of automatic regulation in organisms. By designing proper controllers, the finite-time stability problem of GRNs with nondifferential discrete time-varying delays is discussed in this paper. Rather than constructing the Lyapunov functional or using the finite-time stability theorem, inequality technique and comparison method are firstly adopted in the analyzation. Then, several sufficient algebraic criteria are derived to ensure the finite-time stability of addressed delayed GRNs. The results are general and contain the exponential stability as a special case. Finally, numerical simulations are provided to illustrate the validness of theoretical results.