Format

Send to

Choose Destination
See comment in PubMed Commons below
Neural Netw. 2013 Mar;39:12-7. doi: 10.1016/j.neunet.2012.12.004. Epub 2012 Dec 23.

A new approach for global controllability of higher order Boolean control network.

Author information

1
Department of Mathematics, Tongji University, Shanghai, 200092, PR China.

Abstract

Using the semi-tensor product, the global control problem of the higher order Boolean control network with avoiding set is considered. First, the number of different control sequences that drive the higher order Boolean control network from the initial state to the destination state while avoiding undesirable set is provided. Then, the definition of global controllability of higher order Boolean control network is given. Third, by using the classical theory of nonnegative matrices, the necessary and sufficient condition for the global controllability of higher order Boolean control network with avoiding set is presented. Furthermore, a sufficient condition for k fixed-time global controllability of the system is also obtained. At last, an example is given to illustrate the main results.

PMID:
23298550
DOI:
10.1016/j.neunet.2012.12.004
[Indexed for MEDLINE]
PubMed Commons home

PubMed Commons

0 comments
How to join PubMed Commons

    Supplemental Content

    Full text links

    Icon for Elsevier Science
    Loading ...
    Support Center