3 citations · 3 across the 9 of their papers we have counts for
9 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…
Analysis of Discrete-Time Switched Linear Systems under Logic Dynamic Switchings
Xiao Zhang, Min Meng, Zhengping Ji
The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) ap…
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…
Global Controllability Criteria and Motion Planning of Regular Affine Systems With Drifts
Zhengping Ji, Xiao Zhang, Daizhan Cheng
In this article, we give a condition for the global controllability of affine nonlinear control systems with drifts on Euclidean spaces. Under regularity assumptions, the condition…
A Remark on Evolution Equation of Stochastic Logical Dynamic Systems
Changxi Li, Jun-e Feng, Daizhan Cheng +1
Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like sys…
Hidden Order of Boolean Networks
Xiao Zhang, Zhengping Ji, Daizhan Cheng
It is a common belief that the order of a Boolean network is mainly determined by its attractors, including fixed points and cycles. Using semi-tensor product (STP) of matrices and…