标题：Further results on dynamic-algebraic Boolean control networks
作者：Wang, Sen; Feng, Jun-E; Yu, Yongyuan; Zhao, Jianli
作者机构：[Wang, Sen; Feng, Jun-E; Yu, Yongyuan] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.; [Zhao, Jianli] Liaocheng Univ, Sch Math Sc 更多
通讯作者：Feng, JunE;Feng, JE
通讯作者地址：[Feng, JE]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源：SCIENCE CHINA-INFORMATION SCIENCES
关键词：controllability; dynamic-algebraic Boolean control network; fixed point; and cycle; observability; restricted coordinate transformation
摘要：Restricted coordinate transformation, controllability, observability and topological structures of dynamic-algebraic Boolean control networks are investigated under an assumption. Specifically, given the input-state at some point, assume that the subsequent state is certain or does not exist. First, the system can be expressed in a new form after numbering the elements in admissible set. Then, restricted coordinate transformation is raised, which allows the dimension of new coordinate frame to be different from that of the original one. The system after restricted coordinate transformation is derived in the proposed form. Afterwards, three types of incidence matrices are constructed and the results of controllability, observability and topological structures are obtained. Finally, two practical examples are shown to demonstrate the theory in this paper.