Tensor Product of Matrices. Compound Matrices

1986 ◽  
pp. 136-156
Author(s):  
Miroslav Fiedler
Keyword(s):  
Tensor Product ◽  
Compound Matrices ◽  
Product Of Matrices

Algebraic method of simplifying Boolean networks using semi‐tensor product of Matrices

2019 ◽  
Vol 21 (6) ◽  
pp. 2569-2577 ◽  
Author(s):  
Yongyi Yan ◽  
Jumei Yue ◽  
Zengqiang Chen
Keyword(s):  
Tensor Product ◽  
Algebraic Method ◽  
Boolean Networks ◽  
Product Of Matrices

A new semi-tensor product of matrices

2019 ◽  
Vol 17 (1) ◽  
pp. 4-12
Author(s):  
Daizhan Cheng ◽  
Zequn Liu
Keyword(s):  
Tensor Product ◽  
Product Of Matrices

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

2017 ◽  
Vol 47 (3) ◽  
pp. 531-536 ◽  
Author(s):  
Xiaoguang Han ◽  
Zengqiang Chen ◽  
Zhongxin Liu ◽  
Qing Zhang
Keyword(s):  
Tensor Product ◽  
Petri Nets ◽  
Product Of Matrices

scholarly journals The Laplacian-Energy-Like Invariants of Three Types of Lattices

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Zheng-Qing Chu ◽  
Jia-Bao Liu ◽  
Xiao-Xin Li
Keyword(s):  
Tensor Product ◽  
Closed Form ◽  
Hexagonal Lattice ◽  
Circulant Matrices ◽  
Honeycomb Lattice ◽  
Asymptotic Values ◽  
Laplacian Energy ◽  
Product Of Matrices

This paper mainly studies the Laplacian-energy-like invariants of the modified hexagonal lattice, modified Union Jack lattice, and honeycomb lattice. By utilizing the tensor product of matrices and the diagonalization of block circulant matrices, we derive closed-form formulas expressing the Laplacian-energy-like invariants of these lattices. In addition, we obtain explicit asymptotic values of these invariants with software-aided computations of some integrals.

Calculating skeleton matrix of asynchronous sequential machines based on the semi-tensor product of matrices

2017 ◽  
Vol 11 (13) ◽  
pp. 2131-2139 ◽  
Author(s):  
Jingjing Wang ◽  
Xiaoguang Han ◽  
Zengqiang Chen ◽  
Qing Zhang
Keyword(s):  
Tensor Product ◽  
Sequential Machines ◽  
Product Of Matrices

SYNCHRONIZATION ANALYSIS FOR MULTIVALUED LOGICAL NETWORKS

2013 ◽  
Vol 23 (04) ◽  
pp. 1350059 ◽  
Author(s):  
FANGFEI LI ◽  
JITAO SUN
Keyword(s):  
Feedback Control ◽  
Tensor Product ◽  
Discrete Time ◽  
Open Loop ◽  
Open Loop Control ◽  
Loop Control ◽  
Logical Network ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Product Of Matrices

The synchronization for two k-valued logical networks of the same dimensions is studied in this paper. First, based on the theory of semi-tensor product of matrices, the master-slave systems (two k-valued logical networks) are converted into discrete-time systems. Second, both open-loop control and feedback control are provided to make the slave network synchronize with the master k-valued logical network. Finally, examples are provided to illustrate the efficiency of the obtained results.

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