State feedback stabilization and majorizing achievement of min-max-plus systems

Author

Tao, Yuegang ; Liu, Guo-Ping

Author_Institution

Lab. of Complex Syst. & Intelligence Sci., Chinese Acad. of Sci., Beijing, China

Volume

50

Issue

12

fYear

2005

Firstpage

2027

Lastpage

2033

Abstract

The state feedback stabilization of min-max-plus systems is investigated in this note. The concepts of digraph description, (r,s)-reachability, max-plus projection direct product, etc., are introduced to deal with the stability. The sufficient condition and the necessary condition for the state feedback stabilization are presented respectively and the desired eigenvalue area is determined. Moreover, the state feedback is constructed for majorizing achievement of the stabilization and the corresponding algorithm is derived.

Keywords

discrete event systems; minimax techniques; stability; state feedback; digraph description; discrete-event system; min-max-plus systems; state feedback stabilization; Computer aided manufacturing; Computer science; Control systems; Discrete event systems; Eigenvalues and eigenfunctions; Operations research; Stability; State feedback; Sufficient conditions; Virtual manufacturing; Desired eigenvalue area; discrete-event systems; majorizing achievement; min–max–plus systems; state feedback stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.860240

Filename

1556734