# Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks

ESAIM: Control, Optimisation and Calculus of Variations (2014)

- Volume: 20, Issue: 1, page 158-173
- ISSN: 1292-8119

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topLiu, Yang, Lu, Jianquan, and Wu, Bo. "Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks." ESAIM: Control, Optimisation and Calculus of Variations 20.1 (2014): 158-173. <http://eudml.org/doc/272954>.

@article{Liu2014,

abstract = {This paper investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability via two kinds of inputs are obtained by providing corresponding reachable sets. Two examples are given to illustrate the obtained results.},

author = {Liu, Yang, Lu, Jianquan, Wu, Bo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {temporal boolean (control) network; semi-tensor product; output controllability; time delay; temporal Boolean (control) network},

language = {eng},

number = {1},

pages = {158-173},

publisher = {EDP-Sciences},

title = {Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks},

url = {http://eudml.org/doc/272954},

volume = {20},

year = {2014},

}

TY - JOUR

AU - Liu, Yang

AU - Lu, Jianquan

AU - Wu, Bo

TI - Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2014

PB - EDP-Sciences

VL - 20

IS - 1

SP - 158

EP - 173

AB - This paper investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability via two kinds of inputs are obtained by providing corresponding reachable sets. Two examples are given to illustrate the obtained results.

LA - eng

KW - temporal boolean (control) network; semi-tensor product; output controllability; time delay; temporal Boolean (control) network

UR - http://eudml.org/doc/272954

ER -

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