An Improved Integral Inequality to Stability Analysis of Genetic Regulatory Networks With Interval Time-Varying Delays


This paper focuses on stability analysis for a category of genetic regulatory networks with interval time-varying delays. An improved integral inequality concerning on double-integral items is initial established. Then, we have a tendency to use the improved integral inequality to accommodate the resultant double-integral things in the by-product of the involved Lyapunov-Krasovskii practical. Consequently, a delay-range-dependent and delay-rate-dependent asymptotical stability criterion is established for genetic regulatory networks with differential time-varying delays. Furthermore, it is theoretically proven that the steadiness criterion proposed here is a smaller amount conservative than the corresponding one in [ Neurocomputing, 2012, 93: 19-26]. Primarily based on the obtained result, another stability criterion is given underneath the case that the knowledge of the derivatives of delays is unknown. Finally, the effectiveness of the approach proposed in this paper is illustrated by a pair of numerical examples which provide the comparisons of stability criteria proposed during this paper and some literature.

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