| 引用本文: | 何勇,曾进,吴敏,张传科,张艳.具有区间时滞的离散时间基因调控网络稳定性研究[J].控制理论与应用,2012,29(11):1465~1470.[点击复制] |
| HE Yong,ZENG Jin,WU Min,ZHANG Chuan-ke,ZHANG Yan.Stability for discrete-time genetic regulatory networks with time-varying interval delays[J].Control Theory and Technology,2012,29(11):1465~1470.[点击复制] |
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| 具有区间时滞的离散时间基因调控网络稳定性研究 |
| Stability for discrete-time genetic regulatory networks with time-varying interval delays |
| 摘要点击 2122 全文点击 1925 投稿时间：2012-01-13 修订日期：2012-04-27 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.11.CCTA120045 |
| 2012,29(11):1465-1470 |
| 中文关键词 基因调控网络 稳定性 时变时滞 随机干扰 自由权矩阵(FWM) 线性矩阵不等式(LMI) |
| 英文关键词 genetic regulatory networks (GRNs) stability time-varying delay stochastic perturbation free-weighting matrix (FWM) linear matrix inequality (LMI) |
| 基金项目 国家杰出青年科学基金资助项目(61125301); 国家自然科学基金资助项目(60974026). |
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| 中文摘要 |
| 针对具有随机干扰和区间时滞的离散时间基因调控网络(GRNs), 基于Lyapunov稳定性定理, 利用改进型自由权矩阵方法研究其时滞相关稳定问题. 通过考虑时变时滞、时滞上界及它们的差三者之间的关系, 同时保留增广Lyapunov-Krasovskii泛函差分中的所有有用项, 获得一种更低保守性的时滞相关渐近稳定新判据. 最后, 给出仿真实例验证本文方法的有效性及相比已有方法的优越性. |
| 英文摘要 |
| Based on the Lyapunov stability theory, this paper employs the improved free-weighting matrix (IFWM) method to investigate the delay-dependent stability problem of discrete-time genetic regulatory networks (GRNs) with stochastic perturbation and time-varying interval delays. By considering the relationship among the time-varying delay, its upper bound and their difference, and reserving all useful terms in the functional difference of Lyapunov-Krasovskii, we obtain a novel less conservative delay-dependent asymptotic stability criterion. Two numerical examples are given to demonstrate the effectiveness and the less conservatism of the proposed scheme. |