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 …

Strong structural controllability of Boolean networks: Polynomial-time criteria, minimal node control, and distributed pinning strategies

S Zhu, J Lu, S Azuma, WX Zheng - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we initiate the strong structural controllability of Boolean networks (BNs), in
order to cope with the difficulty of identifying intricate nodal dynamics. The derived …

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 …

Stabilization of Boolean control networks under aperiodic sampled-data control

J Lu, L Sun, Y Liu, DWC Ho, J Cao - SIAM Journal on Control and …, 2018 - SIAM
A novel technique is provided for the global stability analysis of Boolean control networks
(BCNs) under aperiodic sampled-data control (ASDC). The sampling period is allowed to be …

Toward stabilizable large-scale Boolean networks by controlling the minimal set of nodes

S Zhu, J Cao, L Lin, J Lam… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article studies structural controllers and distributed pinning controllers for the global
stabilization of Boolean networks (BNs) by integrating the information on their network …

Robust stability of switched Boolean networks with function perturbation

J Wu, Y Liu, Q Ruan, J Lou - Nonlinear Analysis: Hybrid Systems, 2022 - Elsevier
In genetic regulatory networks, gene mutations are one of natural phenomena, which attract
much attention by biological researchers. In modeling gene networks using switched …

Stabilization of probabilistic Boolean networks via pinning control strategy

C Huang, J Lu, DWC Ho, G Zhai, J Cao - Information Sciences, 2020 - Elsevier
The stabilization of probabilistic Boolean networks with pinning control is investigated. Only
a part of nodes are chosen to be controlled for the aim of high efficiency. Stabilization with …

Block decoupling of Boolean control networks

Y Yu, J Feng, J Pan, D Cheng - IEEE Transactions on Automatic …, 2018 - ieeexplore.ieee.org
In this paper, the block decoupling of Boolean control networks is investigated via solving
logical matrix equations. First, the definition of block decoupling of Boolean control networks …