Stability analysis for switched genetic regulatory networks: An average dwell time approach
Stability analysis for switched genetic regulatory networks: An average dwell time approach
复制标题
DOI：
10.1016/j.jfranklin.2011.04.016
复制
发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
Yingtao Yao;Jinling Liang;Jinde Cao
中科院分区：
文献类型：
--
作者：
Yingtao Yao;Jinling Liang;Jinde Cao
在该通信中，研究了具有时间延迟的切换遗传调控网络（GRN）的指数稳定性问题。 GRN 由 N 个模式组成，网络从一种模式切换到另一种模式。通过采用分段 Lyapunov 泛函方法与平均驻留时间方法相结合，并使用新颖的 Lyapunov-Krasovskii 泛函 (LKF)，给出了足够的标准来确保分别具有恒定延迟和时变延迟的切换 GRN 的指数稳定性。事实证明，这些标准比最近的结果保守得多，因为本文报告的结果不仅取决于延迟界限，还取决于分区。这里提出的所有条件都是矩阵不等式的形式，很容易通过 Matlab 工具箱进行验证。本文最后提供了两个例子来说明所得理论结果的有效性。
In this correspondence, the problem of exponential stability for switched genetic regulatory networks (GRNs) with time delays is investigated. The GRNs are composed of N modes and the network switches from one mode to another. By employing the piecewise Lyapunov functional method combined with the average dwell time approach and by using a novel Lyapunov–Krasovskii functional (LKF), sufficient criteria are given to ensure the exponential stability for the switched GRNs with constant and time-varying delays, respectively. These criteria are proved to be much less conservative than the most recent results, since the results reported in this paper not only depend on the delay bounds, but also depend on the partitioning. All the conditions presented here are in the form of matrix inequalities which are easy to be verified via the Matlab toolbox. Two examples are provided in the end of this paper to illustrate the effectiveness of the obtained theoretical results.