Further Results on Disturbance Decoupling of Mix-Valued Logical Networks

Author

Lequn Zhang ; Jun-e Feng ; Xihuan Feng ; Juan Yao

Author_Institution

Sch. of Math., Shandong Univ., Jinan, China

Volume

59

Issue

6

fYear

2014

fDate

Jun-14

Firstpage

1630

Lastpage

1634

Abstract

This note investigates the disturbance decoupling problems (DDPs) of mix-valued logical control networks (MLCNs) via semi-tensor product method. By using prime factor decomposition, a unique Y-friendly subspace of mix-valued logical networks (MLNs) is derived. A necessary and sufficient condition is obtained for the solvability of DDPs. An algorithm is proposed to find all disturbance decoupling controllers. This approach is more operational than the existing results in which the Y-friendly subspace is not unique. Finally, an illustrative numerical example is given to show the effectiveness of the proposed method.

Keywords

formal logic; DDP; MLCN; MLN; disturbance decoupling controllers; disturbance decoupling problems; mix-valued logical control networks; mix-valued logical networks; prime factor decomposition; semitensor product method; unique Y-friendly subspace; Biological system modeling; Controllability; Electronic mail; Genetics; Probabilistic logic; Systems biology; Vectors; Coordinate transformation; disturbance decoupling; mix-valued logical network; prime Y-friendly subspace; prime regular subspace;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2292733

Filename

6675024