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

Published online by Cambridge University Press:  23 December 2013

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
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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.

Type
Research Article
Copyright
© EDP Sciences, SMAI 2013

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