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Special Issue: Recent Theory Developments in Semi-tensor Product of Matrices and its Applications

Guest Editors

Dr. Jun-e Feng
Shandong University, Jinan, PR China
Email: fengjune@sdu.edu.cn


Dr. Haitao Li
Shandong Normal University, Jinan, PR China
Email: lihaitao_sdu@163.com


Dr. Yang Liu  
Zhejiang Normal University, Zhejiang, PR China
Email: liuyang@zjnu.edu.cn


Dr. Jianquan Lu  
Southeast University, Nanjing, PR China
Email: jqluma@seu.edu.cn


Dr. Hongli Lyu  
Lakehead University, Thunder Bay, P7B5E1, Ontario, Canada
Email: h-lyu1@lakeheadu.ca


Dr. Yuhu Wu
Dalian University of Technology, Dalian, PR China
Email: wuyuhu@dlut.edu.cn

Manuscript Topics

We are pleased to introduce this special issue on “Recent theory developments in semi-tensor product of matrices and its applications”, which indicates that the theory and application of semi-tensor product of matrices (STP) have made new progress. STP was first proposed by Daizhan Cheng, a researcher of Chinese Academy of Sciences. As the extension of traditional matrix multiplication, STP overcomes the dimension limitation and non-commutativity. Under the framework of STP, finite valued dynamic systems can be equivalently transformed into their algebraic forms, by which many theoretical properties were obtained. Besides, algebraic structure of finite algebra has been deeply investigated. With the subsequent development, STP has become an effective tool to process high-dimensional array operations, and developed in the research of control systems, coding theory, finite automata and other mathematical and physical problems. This shows that STP as a new mathematical theory initiated by Chinese people, plays an important role in describing multilinear mappings of finite dimensional spaces. Moreover, its related concepts and ideas show great vitality and theoretical value, and have penetrated into many critical fields.


This special issue aims to provide a platform for researchers to share and exchange original research in the theory and application fields of STP. We sincerely hope that researchers in relevant fields can take advantage of this opportunity to report the recent results to the scientific community. The list of possible topics includes, but is not limited to:


• Mathematical logic
• Algebra
• Topology
• Lattice theory
• Differential geometry
• Logical dynamic systems
• Game theory
• Coding theory
• Multi-agent systems
• Finite automata
• Digital circuit design and fault diagnosis
• Fuzzy control
• Network query and remote sensing operation
• Internal combustion engine
• Smart home


Instructions for authors
https://aimspress.com/mmc/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/
Authors must specify the paper selection during their submission for “SI: STP”.

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 December 2022

Published Papers(9)

Research article
Solving interval type-2 fuzzy relation equations via semi-tensor product of interval matrices
Aidong Ge Zhen Chang Jun-e Feng
2023, Volume 3, Issue 4: 331-344. doi: 10.3934/mmc.2023027
Abstract HTML PDF Viewed (1121)
Research article
MIMO fuzzy adaptive control systems based on fuzzy semi-tensor product
Hongli Lyu Yanan Lyu Yongchao Gao Heng Qian Shan Du
2023, Volume 3, Issue 4: 316-330. doi: 10.3934/mmc.2023026
Abstract HTML PDF Viewed (1141)
Research article
Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks
Xiaomeng Wei Haitao Li Guodong Zhao
2023, Volume 3, Issue 4: 306-315. doi: 10.3934/mmc.2023025
Abstract HTML PDF Cited (2) Viewed (1360)
Research article
Reference trajectory output tracking for Boolean control networks with controls in output
Zejiao Liu Yu Wang Yang Liu Qihua Ruan
2023, Volume 3, Issue 3: 256-266. doi: 10.3934/mmc.2023022
Abstract HTML PDF Cited (1) Viewed (1319)
Review
Recent advances of finite-field networks
Yunsi Yang Jun-e Feng Lei Jia
2023, Volume 3, Issue 3: 244-255. doi: 10.3934/mmc.2023021
Abstract HTML PDF Cited (7) Viewed (1550)
Research article
A new method based on semi-tensor product of matrices for solving reduced biquaternion matrix equation lp=1ApXBp=C and its application in color image restoration
Jianhua Sun Ying Li Mingcui Zhang Zhihong Liu Anli Wei
2023, Volume 3, Issue 3: 218-232. doi: 10.3934/mmc.2023019
Abstract HTML PDF Cited (1) Viewed (1541)
Research article
Distributed pinning controllers design for set stabilization of k-valued logical control networks
Yanfei Wang Changxi Li Jun-e Feng
2023, Volume 3, Issue 1: 61-72. doi: 10.3934/mmc.2023006
Abstract HTML PDF Cited (12) Viewed (1934)
Research article
Modeling and analysis of networked finite state machine subject to random communication losses
Weiwei Han Zhipeng Zhang Chengyi Xia
2023, Volume 3, Issue 1: 50-60. doi: 10.3934/mmc.2023005
Abstract HTML PDF Viewed (1664)
Theory article
Skew-symmetric games and symmetric-based decomposition of finite games
Lei Wang Xinyun Liu Ting Li Jiandong Zhu
2022, Volume 2, Issue 4: 257-267. doi: 10.3934/mmc.2022024
Abstract HTML PDF Cited (2) Viewed (11559)