%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< %A br> %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 < %K em> %K k< %K /em> %K -值控制网络 %K 可控性 %K < %K br> %K < %K em> %K k< %K /em> %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