Geodesic
Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks
ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 1, pp. 158-173

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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.

DOI : 10.1051/cocv/2013059
Classification : 93B05, 92C42, 94C10
Keywords: temporal boolean (control) network, semi-tensor product, output controllability, time delay 
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     title = {Some necessary and sufficient conditions for the output controllability of temporal {Boolean} control networks},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {158--173},
     publisher = {EDP-Sciences},
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     year = {2014},
     doi = {10.1051/cocv/2013059},
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     zbl = {1282.93055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2013059/}
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Liu, Yang; Lu, Jianquan; Wu, Bo. Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks. ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 1, pp. 158-173. doi: 10.1051/cocv/2013059

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