摘要
研究一类布尔控制网络的集成集可控性和集成集镇定性问题.首先,利用矩阵的半张量积理论,给出布尔控制网络等价的代数表示;其次,通过自由控制序列研究布尔控制网络的集成集可控性,并给出相应的充分必要条件,对于布尔控制网络的集成集镇定性问题,使其转换为集成集可控性问题,并给出相应的判定定理;最后,给出数值例子说明所提出方法的有效性.
The ensemble set controllability and ensemble set stabilization of a class of Boolean control networks(BCNs)are investigated. Firstly, by using semi-tensor product of matrices, the algebraic representation of BCNs is proposed.Then, a necessary and sufficient condition is provided for ensuring the ensemble set controllability of BCNs by adopting the free control sequence. The ensemble set stabilization of BCNs can be transferred into ensemble set controllability and a corresponding decision theorem is obtained. Finally, a numerical example is given to show the effectiveness of the proposed method.
作者
徐勇
苟志丽
王金环
姜凯辰
XU Yong;GOU Zhi-li;WANG Jin-huan;JIANG Kai-chen(School of Science,Hebei University of Technology,Tianjin 300401,China)
出处
《控制与决策》
EI
CSCD
北大核心
2021年第9期2187-2194,共8页
Control and Decision
基金
国家自然科学基金项目(11701138)
河北省自然科学基金项目(F2018202075)。
关键词
布尔控制网络
半张量积
集成集可控性
集成集镇定性
Boolean control network
semi-tensor product
ensemble set controllability
ensemble set stabilization
