Minimal controllability of conjunctive Boolean networks is NP-complete

Eyal Weiss; Michael Margaliot; Guy Even

doi:https://doi.org/10.1016/j.automatica.2018.02.014

Minimal controllability of conjunctive Boolean networks is NP-complete

Eyal Weiss, Michael Margaliot, Guy Even

School of Electrical Engineering

Tel Aviv University

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

Abstract

Given a conjunctive Boolean network (CBN) with n state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is controllable. We give a necessary and sufficient condition for controllability of a CBCN; an O(n²)-time algorithm for testing controllability; and prove that nonetheless the minimal controllability problem for CBNs is NP-hard.

Original language	English
Pages (from-to)	56-62
Number of pages	7
Journal	Automatica
Volume	92
DOIs	https://doi.org/10.1016/j.automatica.2018.02.014
State	Published - Jun 2018

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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https://doi.org/10.1016/j.automatica.2018.02.014

Cite this

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title = "Minimal controllability of conjunctive Boolean networks is NP-complete",

abstract = "Given a conjunctive Boolean network (CBN) with n state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is controllable. We give a necessary and sufficient condition for controllability of a CBCN; an O(n2)-time algorithm for testing controllability; and prove that nonetheless the minimal controllability problem for CBNs is NP-hard.",

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doi = "https://doi.org/10.1016/j.automatica.2018.02.014",

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AU - Even, Guy

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AB - Given a conjunctive Boolean network (CBN) with n state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is controllable. We give a necessary and sufficient condition for controllability of a CBCN; an O(n2)-time algorithm for testing controllability; and prove that nonetheless the minimal controllability problem for CBNs is NP-hard.

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U2 - https://doi.org/10.1016/j.automatica.2018.02.014

DO - https://doi.org/10.1016/j.automatica.2018.02.014

M3 - مقالة

SN - 0005-1098

VL - 92

SP - 56

EP - 62

JO - Automatica

JF - Automatica

ER -

Minimal controllability of conjunctive Boolean networks is NP-complete

Abstract

All Science Journal Classification (ASJC) codes

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