In this paper, the sufficient conditions for the global exponential stability of the switched genetic regulatory networks with mixed time delays are obtained. The proposed method does not need the construction of Lyapunov-Krasovskii functional, but is directly proceeded by the definition of global exponential stability. The derived sufficient conditions can easily be verified by checking the eigenvalues of a constant matrix or solving several simple linear matrix inequalities. Finally, two numerical examples are presented to illustrate that the obtained global exponential stability criteria are available.

中文翻译：

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具有混合时滞的遗传控制网络全局指数稳定性分析的新方法。

在本文中，获得了具有混合时滞的交换遗传调控网络的全局指数稳定性的充分条件。所提出的方法不需要构造Lyapunov-Krasovskii泛函，而是直接通过全局指数稳定性的定义来进行。通过检查常数矩阵的特征值或求解几个简单的线性矩阵不等式，可以轻松地验证导出的充足条件。最后，给出了两个数值例子来说明所获得的全局指数稳定性准则是可用的。