Robustness of interval gene networks with multiple time-varying delays and noise
Robustness of interval gene networks with multiple time-varying delays and noise
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DOI：
10.1016/j.neucom.2009.02.012
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发表时间：
2009-08
期刊：
影响因子：
6
通讯作者：
Yi Wang;Jianwei Shen;Baoguo Niu;Zengrong Liu;Luonan Chen
中科院分区：
文献类型：
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作者：
Yi Wang;Jianwei Shen;Baoguo Niu;Zengrong Liu;Luonan Chen
本文研究了具有时变时滞和噪声的不确定基因网络的鲁棒稳定性问题。具体地说，我们考虑的不确定基因网络的调控发生在mRNA水平，我们得到了鲁棒稳定的充分条件，通过李雅普诺夫方法和不等式技术。此外，我们证明了这些条件可以表示为线性矩阵不等式（LMI），这是很容易验证的凸优化。最后，两个最常见的图案进行了调查，以说明我们的结果的有效性和正确性。
In this paper, we investigate the problem how to establish the robust stability of uncertain gene networks with time-varying delays and noise. Specifically, we consider uncertain gene networks where the regulation occurs at the mRNAs level, and we obtain a sufficient condition for robust stability by Lyapunov method and inequality technique. Moreover, we show that these condition can be formulated as linear matrix inequalities (LMIs), which are easy to be verified by the convex optimization. Finally, two of the most common motifs are investigated to illustrate the effectiveness and the correctness of our results.