| Issue |
ESAIM: COCV
Volume 20, Number 1, January-March 2014
|
|
|---|---|---|
| Page(s) | 158 - 173 | |
| DOI | https://doi.org/10.1051/cocv/2013059 | |
| Published online | 23 December 2013 | |
Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks
1
Department of Mathematics, Zhejiang Normal
University, 321004
Jinhua,
China
liuyang4740@gmail.com
2
Department of Mathematics, Southeast University,
210096
Nanjing,
China
3
Academic Affairs Division, Zhejiang Normal
University, Jinhua
321004,
China
Received:
6
February
2012
Revised:
11
March
2013
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.
Mathematics Subject Classification: 93B05 / 92C42 / 94C10
Key words: Temporal Boolean (control) network / semi-tensor product / output controllability / time delay
© EDP Sciences, SMAI 2013
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