%0 Journal Article
%T k-值控制网络的可控性与可观性<br>Controllability and observability of k-valued control networks
%A 邓磊
%A 赵建立
%A 刘华
%A 李莹&lt
%A br&gt
%A DENG Lei
%A ZHAO Jian-li
%A LIU Hua
%A LI Ying
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2014.162
%X 摘要： 利用矩阵的半张量积,研究了k-值控制网络的可控性与可观性问题.通过特征函数构造出可控性矩阵,得到了新的可控性充分和必要条件,简化了原有条件的计算复杂性,矩阵的最高阶数由原来的kn+m 降到kn.另外,还得到了检验k-值控制网络可观性的条件,该条件更容易计算检验.<br>Abstract: By using the method of semi-tensor product of matrices, the controllability and observability of k-valued control networks were investigated. Controllability matrix was constructed by eigenfunction and a novel necessary and sufficient condition for controllability was given. The new conditions simplify computational complexity of original conditions,and the highest power of matrix is reduced from kn+m to kn. Aslo, a sufficient condition for observabilitywas obtained, which can be computed easily
%K 可观性
%K 特征函数
%K 半张量积
%K &lt
%K em&gt
%K k&lt
%K /em&gt
%K -值控制网络
%K 可控性
%K &lt
%K br&gt
%K &lt
%K em&gt
%K k&lt
%K /em&gt
%K -valued control network
%K eigenfunction
%K semi-tensor product of matrices
%K observability
%K controllability
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.162