多值逻辑网络的内同步  

Inner Synchronization of Multi-Valued Logical Networks

作　　者：邓芸芸 梁义 DENG Yun-yun;LIANG Yi(Department of Network Security and Information Technology,Yili Normal University,Yining Xinjiang 835000,China)

机构地区：[1]伊犁师范大学网络安全与信息技术学院,新疆伊宁835000

出　　处：《计算机仿真》2023年第7期402-408,共7页Computer Simulation

基　　金：国家自然科学基金项目(61663045);伊犁师范大学重点项目(2022YSZD001)。

摘　　要：描述逻辑系统最典型的模型是多值逻辑网络,所以研究多值逻辑网络动力学行为特征有重要的理论意义和十分重要的应用价值。提出了多值逻辑网络和时滞多值逻辑网络的内同步模型,利用矩阵半张量积理论,将多值逻辑网络和时滞多值逻辑网络的逻辑方程组转换为其等价的线性代数方程组,进而用代数方法对多值逻辑网络和时滞多值逻辑网络内同步问题进行系统深入研究,分别给出了两类多值逻辑网络实现内同步的充分必要条件。并且,针对两种不同的多值逻辑网络模型,分别给出了数值仿真实例,验证了所得结果的有效性。The most typical model to describe the logic system is the multi-valued logic network.It is of great theoretical significance and application value to study the dynamic behavior characteristics of multi-valued logic networks.The inner synchronization models of multi-valued logical networks and multi-valued logical networks with time delays are proposed.Using the semi-tensor product theory of matrices,the logic equations of multi-valued logic networks and multi-valued logic networks with time delays are equivalently transformed into their equivalent linear algebraic equations,then the synchronization problems of multi-valued logic networks and multi-valued logic networks with time delays are systematically and deeply studied by algebraic methods.The sufficient and necessary conditions for the inner synchronization of two kinds of multi-valued logic networks are given respectively.Moreover,numerical simulation examples are given for two different multi-valued logic network models to verify the effectiveness of the results.

关 键 词：多值逻辑网络 时滞 内同步 半张量积 

分 类 号：N945.12[自然科学总论—系统科学]