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Published in 2018 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2018.09.007
Abstract: Abstract This paper researches the synchronization of asynchronous probabilistic Boolean network and synchronization theorems are provided. Inner synchronization and outer synchronization are considered, respectively. It should be pointed that synchronization theorems and corollaries with probability…
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Keywords:
network;
asynchronous probabilistic;
boolean network;
synchronization ... See more keywords
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Published in 2021 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2021.101076
Abstract: Abstract This paper investigates the set stability of probabilistic Boolean networks (PBNs) with switching topology. To deal with this problem, two novel concepts, set reachability and the largest invariant set family, are defined. By constructing…
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Keywords:
switching topology;
stability;
topology;
boolean networks ... See more keywords
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Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3035152
Abstract: In this article, a reinforcement learning (RL)-based scalable technique is presented to control the probabilistic Boolean control networks (PBCNs). In particular, a double deep- $Q$ network (DD $Q\text{N}$ ) approach is firstly proposed to address…
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Keywords:
control;
boolean control;
learning based;
control networks ... See more keywords
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Published in 2020 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2019.2925870
Abstract: In this letter, observability and reconstructibility properties of probabilistic boolean networks (PBNs) on a finite time interval are addressed. By assuming that the state update follows a probabilistic rule, while the output is a deterministic…
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Keywords:
reconstructibility probabilistic;
reconstructibility;
boolean networks;
observability reconstructibility ... See more keywords
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Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3175931
Abstract: This article analyzes the stability of probabilistic Boolean networks (PBNs) with switching discrete probability distribution (DPD). First, the dynamics of PBNs with switching DPD is converted to an algebraic form by using the semitensor product…
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Keywords:
pbns switching;
boolean networks;
probabilistic boolean;
discrete probability ... See more keywords
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Published in 2022 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2022.3141023
Abstract: This article investigates the pinning asymptotic stabilization of probabilistic Boolean networks (PBNs) by a digraph approach. In order to stabilize the PBN asymptotically, a mode-independent pinning control (MIPC) is designed to make the target state…
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Keywords:
digraph approach;
stabilization probabilistic;
boolean networks;
probabilistic boolean ... See more keywords
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Published in 2020 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2019.2955974
Abstract: In this article, we investigate the asymptotical feedback set stabilization in distribution of probabilistic Boolean control networks (PBCNs). We prove that a PBCN is asymptotically feedback stabilizable to a given subset if and only if…
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Keywords:
feedback set;
asymptotical feedback;
set stabilization;
control ... See more keywords
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Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3164909
Abstract: This article investigates the design of pinning controllers for state feedback stabilization of probabilistic Boolean control networks (PBCNs), based on the condensation digraph method. First, two effective algorithms are presented to achieve state feedback stabilization…
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Keywords:
condensation;
probabilistic boolean;
control networks;
condensation digraph ... See more keywords
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Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2021.3073201
Abstract: Two synchronization problems, synchronization with probability one and synchronization in probability, are investigated for an array of coupled probabilistic Boolean networks (CPBNs). Compared with the former one, the in-probability problem considers a more general situation,…
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Keywords:
boolean networks;
array coupled;
probabilistic boolean;
coupled probabilistic ... See more keywords