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 …

Lyapunov-based stability of time-triggered impulsive logical dynamic networks

X Ding, J Lu, X Chen - Nonlinear Analysis: Hybrid Systems, 2024 - Elsevier
In this paper, we consider the stability of impulsive logical dynamic systems (ILDNs) from two
aspects: impulsive disturbance and impulsive control. The existing results on the stability of …

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 …

Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect

H Li, X Xu, X Ding - Applied Mathematics and Computation, 2019 - Elsevier
This paper analyzes the finite-time stability of stochastic switched Boolean networks (SBNs)
with impulsive effect. Using the algebraic state space representation (ASSR) approach, the …

Set reachability and observability of probabilistic Boolean networks

R Zhou, Y Guo, W Gui - Automatica, 2019 - Elsevier
In this paper, the set reachability and observability of probabilistic Boolean networks (PBNs)
are investigated. Using a parallel extension technique, we proved that the observability …

Nonsingularity of Grain-like cascade FSRs via semi-tensor product

J Lu, M Li, Y Liu, DWC Ho, J Kurths - Science China Information Sciences, 2018 - Springer
In this paper, Grain-like cascade feedback shift registers (FSRs) are regarded as two
Boolean networks (BNs), and the semi-tensor product (STP) of the matrices is used to …

Impulsive synchronization of stochastic neural networks via controlling partial states

Y Li - Neural Processing Letters, 2017 - Springer
In the paper, synchronization problem for stochastic neural networks are studied by
impulsively controlling partial states. At each impulsive instant, only part of the states are …

Synchronization of drive-response Boolean control networks with impulsive disturbances

J Yang, J Lu, J Lou, Y Liu - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we focus on the topic of synchronization of Boolean control networks (BCNs)
with drive-response structure with impulsive disturbances. By transforming BCNs with …

Further results on the controllability of Boolean control networks

Q Zhu, Y Liu, J Lu, J Cao - IEEE Transactions on Automatic …, 2018 - ieeexplore.ieee.org
This note presents further results based on the recent paper [J. Liang, H. Chen, and J.
Lam,“An improved criterion for controllability of Boolean control networks,” IEEE Trans …