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.
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