Stability Analysis of Genetic Regulatory Networks With Switching Parameters and Time Delays.

Yu, Tingting; Liu, Jianxing; Zeng, Yi; Zhang, Xian; Zeng, Qingshuang; Wu, Ligang · IEEE Trans Neural Netw Learn Syst · 2018

basic_science · Level V

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Abstract

This paper is concerned with the exponential stability analysis of genetic regulatory networks (GRNs) with switching parameters and time delays. In this paper, a new integral inequality and an improved reciprocally convex combination inequality are considered. By using the average dwell time approach together with a novel Lyapunov-Krasovskii functional, we derived some conditions to ensure the switched GRNs with switching parameters and time delays are exponentially stable. Finally, we give two numerical examples to clarify that our derived results are effective.

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