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General decomposition of fuzzy relations: Semi-tensor product approach
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbiao Fan, Jun-E Feng
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A survey on applications of semi-tensor product method in engineering
Science China Information Sciences, 2017Semi-tensor product (STP) of matrices has attracted more and more attention from both control theory and engineering in the last two decades. This paper presents a comprehensive survey on the applications of STP method in engineering. Firstly, some preliminary results on STP method are recalled. Secondly, some applications of STP method in engineering,
Li Haitao, Guodong Zhao, Min Meng
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Semi-tensor product of matrices and its application to Morgen’s problem
Science in China Series F: Information Sciences, 2001This paper proposes a new matrix product, namely, semi-tensor product. It is a generalization of the conventional matrix product. Meanwhile, it is also closely related to Kronecker (tensor) product of matrices. The purpose of introducing this product is twofold: (i) treat multi-dimensional data; (ii) treat nonlinear problems in a linear way.
Daizhan Cheng, Cheng Daizhan
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Application of matrix semi-tensor product in chaotic image encryption
Journal of the Franklin Institute, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suo Gao, Xingyuan Wang
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Synchronization Design of Boolean Networks Via the Semi-Tensor Product Method
IEEE Transactions on Neural Networks and Learning Systems, 2013We provide a general approach for the design of a response Boolean network (BN) to achieve complete synchronization with a given drive BN. The approach is based on the algebraic representation of BNs in terms of the semi-tensor product of matrices. Instead of designing the logical dynamic equations of a response BN directly, we first construct its ...
Rui Li, Tianguang Chu
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A Semi-Tensor Product of Tensors and Applications
East Asian Journal on Applied Mathematics, 2022Summary: A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied.
Liu, Wei-Hui +2 more
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Semi‐tensor product of quaternion matrices and its application
Mathematical Methods in the Applied Sciences, 2022Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative law. This makes it impossible to generalize some conclusions on semi‐tensor product to quaternion directly, which is valid on real or complex number fields. In this paper, we define semi‐tensor product of quaternion matrices and study the properties of semi ...
Xueling Fan +3 more
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A new semi-tensor product of matrices
Control Theory and Technology, 2019A new matrix product, called the second semi-tensor product (STP-II) of matrices is proposed. It is similar to the classical semi-tensor product (STP-I). First, its fundamental properties are presented. Then, the equivalence relation caused by STP-II is obtained. Using this equivalence, a quotient space is also obtained.
Daizhan Cheng, Zequn Liu
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A semi-tensor product approach for Probabilistic Boolean Networks
2014 8th International Conference on Systems Biology (ISB), 2014Modeling genetic regulatory networks is an important issue in systems biology. Various models and mathematical formalisms have been proposed in the literature to solve the capture problem. The main purpose in this paper is to show that the transition matrix generated under semi-tensor product approach (Here we call it the probability structure matrix ...
Qiu, Y, Cheng, X, Hou, W, Ching, WK
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Rapid compressed sensing reconstruction: A semi-tensor product approach
Information Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinming Wang +4 more
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