Evidence map›Paper›PMID 25516009›Full record

ArticleScientific reports2014

Controllability of time-delayed Boolean multiplex control networks under asynchronous stochastic update.

Chao Luo, Xingyuan Wang, Hong Liu

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Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.

0numbers the graph read from it
0cells of the map it votes in
4citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

4 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

3 authors.

Chao Luo1] School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China [2] Shandong Provincial Key Laboratory for Novel Distributed Computer Software Technology, Jinan 250014, China.
Xingyuan WangFaculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.
Hong Liu1] School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China [2] Shandong Provincial Key Laboratory for Novel Distributed Computer Software Technology, Jinan 250014, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this article, the controllability of asynchronous Boolean multiplex control networks (ABMCNs) with time delay is studied. Firstly, dynamical model of Boolean multiplex control networks is constructed, which is assumed to be under Harvey' asynchronous update and time delay is introduced both in states and controls. By using of semi-tensor product (STP) approach, the logical dynamics is converted into an equivalent algebraic form by obtaining the control-depending network transition matrices of delayed system. Secondly, a necessary and sufficient condition is proved that only control-depending fixed points of the studied dynamics can be controlled with probability one. Thirdly, respectively for two types of controls, the controllability of dynamical control system is investigated. When initial states and time delay are given, formulae are obtained to show a) the reachable set at time s under specified controls; b) the reachable set at time s under arbitrary controls; c) the reachable probabilities to different destination states. Furthermore, an approach is discussed to find a precise control sequence which can steer dynamical system into a specified target with the maximum reachable probability. Examples are shown to illustrate the feasibility of the proposed scheme.

Identifiers

PMID25516009
PMCPMC4268650

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