Stability of Genetic Regulatory Networks with Multiple Delays via a New Functional

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Abstract

This paper studies the stability problem of a class of genetic regulatory networks (GRN) with multiple delays. By using a novel Lyapunov-Krasovskii (L-K) functional based on line integral, the delay-dependent asymptotical stability criterion is first proposed for GRN with multiple delays. The obtained stability result is easy to be checked by linear matrix inequality (LMI) and improve upon the existing ones. Then, a numerical example is given to verify the effectiveness of the proposed criterion.