文献类型：期刊文献

英文题名：The structure of canalizing functions

作者：Li, Zhiqiang[1]; Cheng, Daizhan[2]

第一作者：李志强

通讯作者：Li, Z.

机构：[1] Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou Henan 450002, China; [2] Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

第一机构：河南财经政法大学数学与信息科学学院

年份：2010

卷号：8

期号：3

起止页码：375-381

外文期刊名：Journal of Control Theory and Applications

收录：EI(收录号：20103013105675);Scopus(收录号：2-s2.0-77954941722)

基金：Received 19 January 2010. This work was supported by the National Natural Science Foundation of China (No.60674022, 60736022, 60821091). ?c South China University of Technology and Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2010

语种：英文

外文关键词：Matrix algebra

摘要：The structure of a canalizing function is discussed. Using a new matrix product, namely semitensor product, the logical function is expressed in its matrix form. From its matrix expression, a criterion is obtained to test whether a logical function is a canalizing function. Then a formula is obtained to calculate the number of canalizing functions. Moreover, an algorithm is presented to generate canalizing functions. Finally, some results obtained are extended to seminested canalizing functions. ? 2010 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.