| 引用本文: | 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.[点击复制] |
| LI Zhi-qiang,XIAO Hui-min.Output stability and stabilization of Boolean control networks[J].Control Theory and Technology,2017,34(9):1201~1207.[点击复制] |
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| 布尔控制网络的输出稳定与镇定 |
| Output stability and stabilization of Boolean control networks |
| 摘要点击 1847 全文点击 1397 投稿时间：2016-12-11 修订日期：2017-05-05 |
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| DOI编号 10.7641/CTA.2017.60938 |
| 2017,34(9):1201-1207 |
| 中文关键词 布尔控制网络 矩阵半张量积 输出稳定 输出镇定 |
| 英文关键词 Boolean control network semi-tensor product of matrices output stability output stabilization |
| 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. |
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| 中文摘要 |
| 矩阵的半张量积是将逻辑变量转化为向量研究的主要工具. 本文利用半张量积把逻辑控制系统表示为离散时
间仿射线性系统, 在逻辑系统的状态空间框架下研究了以布尔控制网络为代表的逻辑动态系统的输出稳定与镇定. 首先
给出布尔网络输出稳定的定义, 研究了布尔网络输出稳定的充要条件; 其次讨论了布尔控制网络的输出镇定, 分别得到
了布尔控制网络由常值输入变量、自由控制序列、状态反馈控制序列输出镇定的条件. 本文讨论的系统输出稳定与镇定
是(部分)变量稳定与镇定的推广. |
| 英文摘要 |
| 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. |