Event-Variant and Time-Variant (max, plus ) Systems

• 成果类型: Article
• 署名作者: Trunk, Johannes; Cottenceau, Bertrand; Hardouin, Laurent; Raisch, Joerg
• 署名单位: Technical University of Berlin; Universite d'Angers
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3275955
• 发表日期: 2024
• 页码: 1045-1051
• 关键词: Synchronization; clocks; DELAYS; computational modeling; Matrix decomposition; Context modeling; Algebra; Dioids; discrete event systems (DESs); Operators; Petri nets; time-variant systems; weighted timed event graphs (WTEGs)

摘要

This article deals with the input-output representation of a class of timed discrete event systems. The systems considered are those that can be described using timed event graphs extended with weights on the arcs and clock rate modifiers or time-varying delays. The model relies on periodic expressions using six elementary operators: Shift, multiplication, and division of events and time. In this context, we show how to develop the transfer matrix computation based on a matrix decomposition called core decomposition.