Results 221 to 230 of about 74,615 (275)

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.
Xiao-guang Han, Zengqiang Chen, Zhongxin Liu   +2 more
exaly   +2 more sources

Semi‐tensor product of quaternion matrices and its application

Mathematical Methods in the Applied Sciences, 2022
Unlike 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, Ying Li, Wenxv Ding, Jianli Zhao   +3 more
openaire   +1 more source

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
Cheng, Daizhan, Qi, Hongsheng, Xue, Ancheng   +2 more
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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, Zequn Liu
openaire   +1 more source

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.
Fan, Xueling, Li, Ying, Sun, Jianhua, Zhao, Jianli   +3 more
openaire   +2 more sources

On Semi-tensor Product of Matrices and Its Applications

Acta Mathematicae Applicatae Sinica, English Series, 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
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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 ...
Yaqi Hao, Xiao Zhang, Daizhan Cheng
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Modelling combined automata via semi-tensor product of matrices

Proceedings of the 33rd Chinese Control Conference, 2014
Using semi-tensor product of matrices (STP), a new matrix analysis tool, this paper investigates the problem of modelling combined automata, which are constructed in three ways: parallel, serial and feedback. By representing the states, input and output symbols in vector forms, the transition and output functions are expressed as algebraic equations of
Yongyi Yan, Zengqiang Chen, Zhongxin Liu
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Stabilization of probabilistic finite automata based on semi-tensor product of matrices

Journal of the Franklin Institute, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhipeng Zhang, Zengqiang Chen, Xiaoguang Han, Zhongxin Liu   +3 more
openaire   +1 more source

Matching Algorithms of Minimum Input Selection for Structural Controllability Based on Semi-Tensor Product of Matrices

Journal of Systems Science and Complexity, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Naqi, Zhang, Lijun, Zhang, Shenggui, Liu, Jiuqiang   +3 more
openaire   +1 more source