7 citations · 35 across the 34 of their papers we have counts for
37 papers
From DK-STP to Non-square General Linear Algebras and General Linear Groups
Daizhan Cheng
A new matrix product, called dimension-keeping semi-tensor product (DK-STP), is proposed. Under DK-STP, the set of matrices becomes a semi-group $G({m\times n},\mathbb{…
Contracted Product of Hypermatrices via STP of Matrices
Daizhan Cheng, Min Meng, Xiao Zhang +1
An equivalent definition of hypermatrices is introduced. The matrix expression of hypermatrices is proposed. Using permutation matrices, the conversion of different matrix expressi…
Transition System Representation of Boolean Control Networks
Daizhan Cheng, Xiao Zhang, Zhengping Ji
First, the topological structure of a transition system is studied. Then, two types of transition system (TS) representations of Boolean networks (BNs) and Boolean control networks…
Aggregated (Bi-)Simulation of Finite Valued Networks
Zhengping Ji, Xiao Zhang, Daizhan Cheng
The paper provides a method to approximate a large-scale finite-valued network by a smaller model called the aggregated simulation, which is a combination of aggregation and (bi-)s…
Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices
Daizhan Cheng, Xiao Zhang, Zhengping Ji
The semi-tensor product (STP) of matrices is extended to the STP of hypermatrices. Some basic properties of the STP of matrices are extended to the STP of hypermatrices. The hyperd…
Invariant and Dual Invariant Subspaces of -valued Networks
Daizhan Cheng, Hongsheng Qi, Xiao Zhang +1
Consider a -valued network. Two kinds of (control) invariant subspaces, called state and dual invariant subspaces, are proposed, which are subspaces of state space and dual spac…