Results 201 to 210 of about 1,950 (244)

A Survey on Semi-Tensor Product of Matrices

Journal of Systems Science and Complexity, 2007
A type \((m,n)\) matrix \(A\) and a type \((p,q)\) matrix \(B\) are said to be satisfying the factor dimension condition if \(n\) devides \(p\) or \(q\) devides \(n\). In this paper a product (called semi-tensor product) of matrices satisfying the factor dimension condition is surveyed. The authors list the basic algebraic properties of the semi-tensor
Daizhan Cheng, Ancheng Xue, Hongsheng Qi   +2 more
exaly   +2 more sources

Semi-tensor product of matrices and its application to Morgen’s problem

Science in China Series F: Information Sciences, 2001
This 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
exaly   +2 more sources

On Semi-tensor Product of Matrices and Its Applications

Acta Mathematicae Applicatae Sinica, 2003
Similarly to the left semi-tensor product the authors introduce the right semi-tensor product. Certain properties are presented. The major differences between the left and the right semi-tensor products are discussed. Then two new applications are investigated. The first one is its application to the connection.
Cheng, Daizhan, Zhang, Lijun
exaly   +3 more sources

A new semi-tensor product of matrices

Control Theory and Technology, 2019
A 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, Cheng Daizhan
exaly   +2 more sources

Updated formulas for semi-tensor product of matrices

2017 36th Chinese Control Conference (CCC), 2017
Some main formulas about semi-tensor product (STP) of matrices are presented in their mostly updated forms. The formulas consist of (i) fundamental formulas about STP; (ii) swap and permutation related formulas; (iii) formulas for the application of STP to logical systems; (iv) the relationship of STP with Kronecker products; (v) formulas for the ...
Daizhan Cheng, Yaqi Hao
exaly   +2 more sources

Solving quaternion linear system $$AXB=E$$ based on semi-tensor product of quaternion matrices

Banach Journal of Mathematical Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao Jianli
exaly   +3 more sources

The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices

Automatica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingwen Huang, , Jinde Cao
exaly   +2 more sources

Calculation of Siphons and Minimal Siphons in Petri Nets Based on Semi-Tensor Product of Matrices

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017
In this paper, we address the problems of enumerating siphons and minimal siphons in ordinary Petri nets (PNs) by resorting to the semi-tensor product (STP) of matrices. First, a matrix equation, called the siphon equation (SE), is established by using STP. Second, an algorithm is proposed to calculate all siphons in ordinary PNs.
Zengqiang Chen, Zhongxin Liu, Xiaoguang Han   +2 more
exaly   +2 more sources

Modeling and optimization for networked evolutionary games with player exit mechanism: Semi-tensor product of matrices method

Physica A: Statistical Mechanics and Its Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Li, Jianquan Lu
exaly   +2 more sources

Modeling and analysis of colored petri net based on the semi-tensor product of matrices

Science China Information Sciences, 2017
This paper applies the model petri net method based on the semi-tensor product of matrices to colored petri net. Firstly, we establish the marking evolution equation for colored petri net by using the semi-tensor product of matrices. Then we define the concept of controllability and the control-marking adjacency matrix for colored petri net.
Zengqiang Chen, Zhongxin Liu, Chen Zengqiang   +2 more
exaly   +2 more sources