Synchronization Design of Boolean Networks Via the Semi-Tensor Product Method

Author

Rui Li ; Meng Yang ; Tianguang Chu

Author_Institution

State Key Lab. for Turbulence & Complex Syst., Peking Univ., Beijing, China

Volume

24

Issue

6

fYear

2013

fDate

Jun-13

Firstpage

996

Lastpage

1001

Abstract

We provide a general approach for the design of a response Boolean network (BN) to achieve complete synchronization with a given drive BN. The approach is based on the algebraic representation of BNs in terms of the semi-tensor product of matrices. Instead of designing the logical dynamic equations of a response BN directly, we first construct its algebraic representation and then convert the algebraic representation back to the logical form. The results are applied to a three-neuron network in order to illustrate the effectiveness of the proposed approach.

Keywords

Boolean functions; matrix multiplication; BN; Boolean networks; algebraic representation; logical dynamic equations; matrices; semitensor product method; synchronization design; three-neuron network; Boolean functions; Equations; Learning systems; Mathematical model; Matrix converters; Neurons; Synchronization; Algebraic representation; Boolean network; complete synchronization; semi-tensor product;

fLanguage

English

Journal_Title

Neural Networks and Learning Systems, IEEE Transactions on

Publisher

ieee

ISSN

2162-237X

Type

jour

DOI

10.1109/TNNLS.2013.2248092

Filename

6476026