随机脉冲布尔网络的输出跟踪  

Output tracking control of Boolean networks with random impulses

作　　者：杨依然 周荣佩 YANG Yiran;ZHOU Rongpei(School of Information Engineering,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学信息工程学院,江西南昌330031

出　　处：《南昌大学学报(工科版)》2025年第1期99-108,共10页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金资助项目(62103178)。

摘　　要：在混合指标模型的框架下,研究了随机脉冲布尔控制网络的状态反馈输出跟踪问题。基于矩阵半张量积方法,将随机脉冲布尔网络的动态模型转化为代数表示形式。由于网络中存在着随机脉冲行为,为避免产生芝诺现象,给出了网络前向完备性的概念,并进而得到了其充要条件。通过构建可达集序列,推导了随机脉冲布尔网络跟踪恒定参考信号可解性的充要条件,同时对基于状态反馈的输出跟踪控制器设计提出了一个新颖的算法。最后通过一个数值算例证明了所提算法的有效性。Under the framework of a hybrid-index model,the problem of output tracking for random impulsive Boolean control networks based on state feedback was investigated.Based on the semi-tensor product of matrices method,the dynamic model of the random impulsive Boolean network was transformed into an algebraic expression.Since the presence of random impulsive behaviors in the network,the concept of network forward completeness was given to avoid Zeno's phenomenon,and in turn its sufficient and necessary conditions were obtained.By constructing a series of reachable sets,the sufficient and necessary conditions of the solvability of the random impulsive Boolean networks tracking a constant reference signal were derived,and a novel algorithm for designing the output tracking controller based on state feedback was proposed.Finally,a numerical example was given to illustrate the validity of the proposed algorithm.

关 键 词：随机脉冲 布尔网络 半张量积 混合指标模型 输出跟踪 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]