4 papers
From Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of Tensors
Daizhan Cheng
The rings of non-square matrices based on dimension-keeping (DK-) semi-tensor product (STP) are considered. Using the ring structure to hypermatrices, four kinds of eigenvalues/eig…
t-Product and t-STP of Cubic Matrices With Application to Hyper-Networked Systems
Daizhan Cheng, Zhengping Ji
Motivated by the study of dynamic control systems, this paper proposes novel algebraic operations on cubic matrices to construct both linear and nonlinear controlled dynamics. The…
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…
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…