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

共 50 条

[21] TIME-VARYING LINEAR-CONTROL SYSTEMS - A GEOMETRIC APPROACH
ILCHMANN, A
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1989, 6 (04) : 411 - 440
[22] Decoupling of linear time-varying systems with a bond graph approach
Lichiardopol, Stefan
Sueur, Christophe
20TH EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2006: MODELLING METHODOLOGIES AND SIMULATION: KEY TECHNOLOGIES IN ACADEMIA AND INDUSTRY, 2006, : 128 - +
[23] ANALYSIS ON THE TIME-VARYING GAP OF DISCRETE TIME-VARYING LINEAR SYSTEMS
Liu, Liu
Lu, Yufeng
OPERATORS AND MATRICES, 2017, 11 (02): : 533 - 555
[24] Robust output feedback constrained controllability of uncertain linear time-varying systems
Savkin, AV
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 215 (02) : 376 - 387
[25] Robust Constrained Receding Horizon Control for Linear Time-Varying Systems with Delays
McGahan, Paul
Vyhlidal, Tomas
IFAC PAPERSONLINE, 2016, 49 (10): : 100 - 105
[26] Receding horizon tracking control for constrained linear continuous time-varying systems
Kim, KB
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (05): : 534 - 538
[27] Max-plus algebra and max-plus linear discrete event systems: An introduction
De Schutter, Bart
van den Boom, Ton
WODES' 08: PROCEEDINGS OF THE 9TH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, 2008, : 36 - 42
[28] A Non-Parametric Linear Parameter Varying Approach for Identification of Linear Time-Varying Systems
Tehrani, Ehsan Sobhani
Kearney, Robert E.
IFAC PAPERSONLINE, 2015, 48 (28): : 733 - 738
[29] Soluble approximation of linear systems in max-plus algebra
Cechlárová, K
Cuninghame-Green, RA
KYBERNETIKA, 2003, 39 (02) : 137 - 141
[30] Soluble approximation of linear systems in max-plus algebra
Cechlárová, K
Cuninghame-Green, RA
SYSTEM STRUCTURE AND CONTROL 2001, VOLS 1 AND 2, 2001, : 809 - 811

← 1 2 3 4 5 →