控制理论与应用2017，Vol.34Issue(9)：1201-1207,7.DOI:10.7641/CTA.2017.60938
布尔控制网络的输出稳定与镇定
Output stability and stabilization of Boolean control networks
摘要
Abstract
Semi-tensor product of matrices is the main tool in converting logical variable to its vector form. Using semi-tensor product of matrices, the logical dynamical system is converted to discrete time affine linear system. Under framework of state space expression of Boolean network,the output stability and output stabilization are discussed in this paper. First,the definition of output stability of Boolean network is given,and the necessary and sufficient condition for output stability of Boolean network is obtained.Second,the output stabilization of Boolean control network is investigated and the different conditions for output stabilization are obtained. The output stability and stabilization discussed in this paper are generalizations of the known state stability and stabilization.关键词
布尔控制网络/矩阵半张量积/输出稳定/输出镇定Key words
Boolean control network/semi-tensor product of matrices/output stability/output stabilization分类
信息技术与安全科学引用本文复制引用
李志强,肖会敏..布尔控制网络的输出稳定与镇定[J].控制理论与应用,2017,34(9):1201-1207,7.基金项目
国家自然科学基金项目(61640315,61603125,61374079),河南财经政法大学青年学术创新骨干研究资助计划,河南财经政法大学青年拔尖人才资助计划(hncjzfdxqnbjrc201607)资助.Supported by National Natural Science Foundation(NNSF)of China(61640315,61603125,61374079),Program for Academic Innovation Talents of HUEL and Young Talents Fund of HUEL(hncjzfdxqnbjrc201607). （61640315,61603125,61374079）
