A (Max, plus ) Algebra Approach for Linear Time-varying Constrained Systems

被引：0

作者：

Elmahi, Ilham ^{[1
]}

Grunder, Olivier ^{[1
]}

Elmoudni, Abdellah ^{[1
]}

机构：

[1] Univ Technol Belfort Montbeliard, Syst & Transport Lab, F-90010 Belfort, France

来源：

ETFA 2005: 10TH IEEE INTERNATIONAL CONFERENCE ON EMERGING TECHNOLOGIES AND FACTORY AUTOMATION, VOL 2, PROCEEDINGS | 2005年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The class of discrete event systems (DES) which involve only synchronization phenomena can be represented by linear state equations in particular algebraic structures. The (max, +) algebra is a dioid over which, these systems can have a linear state representation with special sum and product operations. The study of the DES over this (max, +) algebra is usually made through the corresponding timed event graph (TEG). In this paper, we extend the study over this dioid to DES that are subject to time-varying constraints. We enrich the existing TEG formalism to characterize these systems and propose a modeling and control policy. An example of a supply chain system illustrates this study.

引用

页数：7

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