Robust stability of switched delayed logical networks with all unstable modes

Robust stability of switched delayed logical networks with all unstable modes
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DOI：
10.1016/j.jfranklin.2020.12.036
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发表时间：
2021-01
期刊：
J. Frankl. Inst.
影响因子：
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通讯作者：
Xiangshan Kong;Haitao Li;Xiao-Yun Lu
Xiangshan Kong;Haitao Li;Xiao-Yun Lu
中科院分区：
其他
文献类型：
--
作者：
Xiangshan Kong;Haitao Li;Xiao-Yun Lu

文献摘要

相似文献

逻辑网络是一类具有有限状态空间和逻辑运算的特殊正系统。分析了具有所有不稳定模式的交换时滞逻辑网络(SDLN)的鲁棒稳定性。主要的数学工具是矩阵的半张量积，它用于将具有所有不稳定模式的SDLN的动力学转化为等价的代数状态空间表示。遵循代数状态空间表示框架，提出了鲁棒稳定部分的概念，并在此基础上建立了具有所有不稳定模式的SDLN的鲁棒稳定性的新判据。最后给出了两个算例对主要结果进行了验证。
Logical network is a special kind of positive systems with finite state space and logical operations. This paper analyzes the robust stability of switched delayed logical networks (SDLNs) with all unstable modes. The main mathematical tool is the semi-tensor product of matrices, which is used to convert the dynamics of SDLNs with all unstable modes into an equivalent algebraic state space representation. Following the algebraic state space representation framework, the concept of robustly stable parts is proposed, based on which, a new criterion is established for the robust stability of SDLNs with all unstable modes. Finally, two examples are given for the verification of main results.