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Some necessary and sufficient conditions for the outputcontrollability of temporal Boolean control networks

Published online by Cambridge University Press:  23 December 2013

Yang Liu,
Jianquan Lu and
Bo Wu
Yang Liu
Affiliation:
Department of Mathematics, Zhejiang Normal University, 321004 Jinhua, China. liuyang4740@gmail.com
Jianquan Lu
Affiliation:
Department of Mathematics, Southeast University, 210096 Nanjing, China
Bo Wu
Affiliation:
Academic Affairs Division, Zhejiang Normal University, Jinhua 321004, China

Abstract

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This paper investigates the output controllability problem of temporal Boolean networkswith inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network isa logical dynamic system describing cellular networks with time delays. Using semi-tensorproduct of matrices, the temporal Boolean networks can be converted into discrete timelinear dynamic systems. Some necessary and sufficient conditions on the outputcontrollability via two kinds of inputs are obtained by providingcorresponding reachable sets. Two examples are given to illustrate the obtainedresults.

Keywords

Temporal Boolean (control) networksemi-tensor productoutput controllabilitytime delay

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 20 , Issue 1 , January 2014, pp. 158 - 173
Copyright
© EDP Sciences, SMAI 2013

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