4 papers
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…