Survey on semi‐tensor product method with its applications in logical networks and other finite‐valued systems

J Lu, H Li, Y Liu, F Li - IET Control Theory & Applications, 2017 - Wiley Online Library
This study presents a detailed survey on recent development of logical networks and its
applications, including the background of logical networks, the theory of a new matrix …

A survey on applications of semi-tensor product method in engineering

H Li, G Zhao, M Meng, J Feng - Science China Information Sciences, 2018 - Springer
Semi-tensor product (STP) of matrices has attracted more and more attention from both
control theory and engineering in the last two decades. This paper presents a …

Policy iteration approach to the infinite horizon average optimal control of probabilistic Boolean networks

Y Wu, Y Guo, M Toyoda - IEEE Transactions on Neural …, 2020 - ieeexplore.ieee.org
This article studies the optimal control of probabilistic Boolean control networks (PBCNs)
with the infinite horizon average cost criterion. By resorting to the semitensor product (STP) …

Optimal control of Boolean control networks with average cost: A policy iteration approach

Y Wu, XM Sun, X Zhao, T Shen - Automatica, 2019 - Elsevier
This paper deals with the infinite horizon optimal control problem for deterministic Boolean
control networks (BCNs) with average cost. Based on the semi-tensor product of matrices …

Minimum-time and minimum-triggering observability of stochastic Boolean networks

S Zhu, J Lu, L Lin, Y Liu - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article investigates the observability of Markovian jump Boolean networks (MJBNs) via
algebraic state space representation approach. A necessary and sufficient criterion in the …

On pinning controllability of Boolean control networks

J Lu, J Zhong, C Huang, J Cao - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This technical note presents analytical investigations of reachability and controllability of
Boolean control networks (BCNs) with pinning controllers. Based on semi-tensor product …

On finite potential games

D Cheng - Automatica, 2014 - Elsevier
A linear system, called the potential equation (PE), is presented. It is proved that a finite
game is potential if and only if its potential equation has solution. Some properties of the …

Minimal observability of Boolean networks

Y Liu, J Zhong, DWC Ho, W Gui - Science China Information Sciences, 2022 - Springer
In this study, the minimum observability of Boolean networks (BNs) is investigated by using
the semi-tensor product (STP) of matrices. First, a new system based on the considered BN …

Perturbation analysis for controllability of logical control networks

H Li, S Wang, X Li, G Zhao - SIAM Journal on Control and Optimization, 2020 - SIAM
Controllability is one of the most fundamental issues in control theory. This paper focuses on
the perturbation analysis for controllability of logical control networks (LCNs) via an …

Pinning control for the disturbance decoupling problem of Boolean networks

Y Liu, B Li, J Lu, J Cao - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
This paper investigates the pinning control for the disturbance decoupling problem (DDP) of
Boolean networks (BNs) with disturbances. First, the solvability of DDP in BCNs is defined …