时滞布尔网络反同步问题分析  

Anti-synchronization Analysis of Boolean Networks with Delay

作　　者：徐佳 梁义 XU Jia;LIANG Yi(Department of Electronics and Information Engineering,Yili Normal University,Yining 835000,China)

机构地区：[1]伊犁师范大学电子与信息工程分院,新疆伊宁835000

出　　处：《数学的实践与认识》2020年第21期151-163,共13页Mathematics in Practice and Theory

基　　金：国家自然科学基金:布尔网络建模及其同步控制研究(61663045);自治区自然科学基金项目:基于DBN的遥感图像变化检测技术研究(2019D01C337)。

摘　　要：提出了两种时滞布尔网络反同步模型,布尔网络控制模型Ⅰ仅考虑了网络节点具有状态时滞,布尔网络控制模型Ⅱ不仅节点具有状态时滞还考虑了两个布尔网络的耦合时滞.利用矩阵半张量积方法分别研究了时滞影响下两类布尔网络的反同步问题,并分别给出了两种时滞布尔网络实现反同步的充要条件.最后,给出两个仿真示例进一步验证了结论的有效性.Anti synchronization models of two kinds of delay Boolean network are proposed.In Boolean network control model Ⅰ,only the state delay of network nodes is considered.In Boolean network control model Ⅱ,it has the state delay of nodes as well as the coupling delay of two Boolean networks.In this paper,the matrix semi tensor product method is used to study the anti synchronization of two kinds of Boolean networks with time delay,and the necessary and sufficient conditions for the realization of the anti synchronization of two kinds of Boolean networks are given.Finally,two simulation examples are given to further verify the effectiveness of the conclusion.

关 键 词：时滞布尔网络 耦合时滞 反同步 

分 类 号：O157.5[理学—数学]