Observability of Boolean networks via set controllability approach

Daizhan Cheng; Changxi Li; Fenghua He

doi:10.1016/j.sysconle.2018.03.004

Observability of Boolean networks via set controllability approach

Daizhan Cheng^*
, Changxi Li
, Fenghua He

^*Corresponding author for this work

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

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

126 Scopus citations

Abstract

Controllability and observability of Boolean control networks (BCNs) are two fundamental properties. But verification of the latter is much harder than the former. This paper considers the observability of BCNs via controllability. First, set controllability is proposed, and a necessary and sufficient condition is obtained. Then a technique is developed to convert observability into an equivalent set controllability problem. Using the result for set controllability, a necessary and sufficient condition is also obtained for the observability of BCNs.

Original language	English
Pages (from-to)	22-25
Number of pages	4
Journal	Systems and Control Letters
Volume	115
DOIs	https://doi.org/10.1016/j.sysconle.2018.03.004
State	Published - May 2018
Externally published	Yes

Keywords

Boolean control networks
Observability
Semi-tensor product of matrices
Set controllability

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10.1016/j.sysconle.2018.03.004

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title = "Observability of Boolean networks via set controllability approach",

abstract = "Controllability and observability of Boolean control networks (BCNs) are two fundamental properties. But verification of the latter is much harder than the former. This paper considers the observability of BCNs via controllability. First, set controllability is proposed, and a necessary and sufficient condition is obtained. Then a technique is developed to convert observability into an equivalent set controllability problem. Using the result for set controllability, a necessary and sufficient condition is also obtained for the observability of BCNs.",

keywords = "Boolean control networks, Observability, Semi-tensor product of matrices, Set controllability",

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

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = may,

doi = "10.1016/j.sysconle.2018.03.004",

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T1 - Observability of Boolean networks via set controllability approach

AU - Cheng, Daizhan

AU - Li, Changxi

AU - He, Fenghua

PY - 2018/5

Y1 - 2018/5

N2 - Controllability and observability of Boolean control networks (BCNs) are two fundamental properties. But verification of the latter is much harder than the former. This paper considers the observability of BCNs via controllability. First, set controllability is proposed, and a necessary and sufficient condition is obtained. Then a technique is developed to convert observability into an equivalent set controllability problem. Using the result for set controllability, a necessary and sufficient condition is also obtained for the observability of BCNs.

AB - Controllability and observability of Boolean control networks (BCNs) are two fundamental properties. But verification of the latter is much harder than the former. This paper considers the observability of BCNs via controllability. First, set controllability is proposed, and a necessary and sufficient condition is obtained. Then a technique is developed to convert observability into an equivalent set controllability problem. Using the result for set controllability, a necessary and sufficient condition is also obtained for the observability of BCNs.

KW - Boolean control networks

KW - Observability

KW - Semi-tensor product of matrices

KW - Set controllability

UR - https://www.scopus.com/pages/publications/85044124044

U2 - 10.1016/j.sysconle.2018.03.004

DO - 10.1016/j.sysconle.2018.03.004

M3 - 文章

AN - SCOPUS:85044124044

SN - 0167-6911

VL - 115

SP - 22

EP - 25

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Observability of Boolean networks via set controllability approach

Abstract

Keywords

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