5 papers
From Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of Tensors
Daizhan Cheng, June Feng, Hongsheng Qi +1
The rings of non-square matrices based on the dimension-keeping (DK-) semi-tensor product (STP) are considered, where a virtual identity is introduced to make each ring possess an…
t-Product and t-STP of cubic matrices with an application to hyper-networked systems
Daizhan Cheng, Zhengping Ji
Control systems with tensor-valued state transitions require a product that specifies both how coefficients act on each frontal slice and how different slices interact. This paper…
Observer-Based Realization of Control Systems
Daizhan Cheng, Xiao Zhang, Zhengping Ji +1
A novel model reduction framework for large-scale complex systems is proposed by introducing function-type dynamic control systems via the dimension-keeping semi-tensor product (DK…
Design of zero-determinant strategies and its application to networked repeated games
Daizhan Cheng, Changxi Li
Using semi-tensor product (STP) of matrices, the profile evolutionary equation (PEE) for repeated finite games is obtained. By virtue of PEE, the zero-determinant (ZD) strategies a…
On Universal Eigenvalues and Eigenvectors of Hypermatrices
Daizhan Cheng, Zhengping Ji
A generalized eigenvector of a hypermatrix, called the universal (U-) eigenvector, is proposed, which extended the notion of diagonal (D-) eigenvectors in the literature. Using the…