文献类型：期刊文献

英文题名：On stabilization and set stabilization of multivalued logical systems

作者：Li, Fangfei[1];Li, Hongyi[2];Xie, Lihua[3];Zhou, Qi[4]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China;[3]Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore;[4]Bohai Univ, Coll Informat Sci & Technol, Jinzhou 121013, Peoples R China

年份：2017

卷号：80

起止页码：41

外文期刊名：AUTOMATICA

收录：;EI(收录号：20171303506805);WOS:【SCI-EXPANDED(收录号:WOS:000401391800006)】；

基金：This work was partially supported by National Natural Science Foundation of China (61403139, 61622302,61573070, 61673072, 61673176), the Science and Technology Commission of Shanghai Municipality (14YF1404500) and the open foundation of The Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology (2016ACOCP02).

语种：英文

外文关键词：K-valued logical system; Semi-tensor product; Stabilization; Set stabilization; Pinning control design

摘要：The stabilization and set stabilization of a multivalued logical system are investigated in this paper by using pinning control. First, new algorithms are presented to redesign the transition matrix of the multivalued logical system such that the system is stable or set stable. Then, by using reconstruction theory of a k-valued logical system, the pinning nodes are selected. In addition, the transition matrix of the pinning control is given by solving some logical matrix equations. Then, a pinning control design algorithm is provided. Finally, an example is employed to illustrate the proposed control design procedure. (C) 2017 Elsevier Ltd. All rights reserved.