Controllability of Boolean Networks via Mixed Controls

Daizhan Cheng; Changxi Li; Xiao Zhang; Fenghua He

doi:10.1109/LCSYS.2018.2821240

Controllability of Boolean Networks via Mixed Controls

Daizhan Cheng^*
, Changxi Li
, Xiao Zhang
, Fenghua He

^*Corresponding author for this work

Chinese Academy of Sciences
School of Astronautics, Harbin Institute of Technology
Shandong University

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

Controllability is one of the most important properties of a Boolean control network (BCN). Essentially there are two kinds of controls: 1) networked inputs and 2) free logical inputs. This letter considers controllability of BCNs under mixed controls. The technique proposed is to convert a BCN with two kinds of controls into a set controllability problem. Using results obtained for set controllability, a necessary and sufficient condition for controllability of BCNs with mixed inputs is obtained. Some examples are presented to depict the theoretical results.

Original language	English
Pages (from-to)	254-259
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	2
Issue number	2
DOIs	https://doi.org/10.1109/LCSYS.2018.2821240
State	Published - Apr 2018
Externally published	Yes

Keywords

Boolean control network (BCN)
mixed control
semi-tensor product (STP) of matrices
set controllability

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10.1109/LCSYS.2018.2821240

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title = "Controllability of Boolean Networks via Mixed Controls",

abstract = "Controllability is one of the most important properties of a Boolean control network (BCN). Essentially there are two kinds of controls: 1) networked inputs and 2) free logical inputs. This letter considers controllability of BCNs under mixed controls. The technique proposed is to convert a BCN with two kinds of controls into a set controllability problem. Using results obtained for set controllability, a necessary and sufficient condition for controllability of BCNs with mixed inputs is obtained. Some examples are presented to depict the theoretical results.",

keywords = "Boolean control network (BCN), mixed control, semi-tensor product (STP) of matrices, set controllability",

author = "Daizhan Cheng and Changxi Li and Xiao Zhang and Fenghua He",

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AU - Zhang, Xiao

AU - He, Fenghua

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AB - Controllability is one of the most important properties of a Boolean control network (BCN). Essentially there are two kinds of controls: 1) networked inputs and 2) free logical inputs. This letter considers controllability of BCNs under mixed controls. The technique proposed is to convert a BCN with two kinds of controls into a set controllability problem. Using results obtained for set controllability, a necessary and sufficient condition for controllability of BCNs with mixed inputs is obtained. Some examples are presented to depict the theoretical results.

KW - Boolean control network (BCN)

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KW - semi-tensor product (STP) of matrices

KW - set controllability

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Controllability of Boolean Networks via Mixed Controls

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Keywords

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