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一类离散事件系统的模型建立与动态分析
引用本文:徐心和.一类离散事件系统的模型建立与动态分析[J].东北大学学报(自然科学版),1987(3).
作者姓名:徐心和
作者单位:东北工学院自动控制系
摘    要:本文对具有时间消耗可数活动特征的一类离散事件系统进行了分析。用极大代数,将n 台机床加工 m 种产品的机械加工进程问题构成新的“线性”系统,应用线性系统理论的一些观点和类似方法,研究静态与动态、开环与闭环时的数学模型,并通过实例计算输出响应、特征值与特征向量等,进而阐述了这类系统的稳定概念与特点。

关 键 词:离散事件  动态系统  极大代数  线性系统

Modeling and Dynamic Analysis for a Kind of Discrete--Event System
Xu Xinhe.Modeling and Dynamic Analysis for a Kind of Discrete--Event System[J].Journal of Northeastern University(Natural Science),1987(3).
Authors:Xu Xinhe
Abstract:A kind of Discrete- Event System characterized by the countabletime- consumed activities is discussd. A new mathematic tool namedMax- algebra is introduced to construct a linear system for themachinework scheduling problem of which m parts are to be ma-chined with n machine tools.As viewed from the theory of linear sys-tem with some analogous methods, mathematical models are discussedboth statically and dynamically, and for both open and closed loops.Output response, eigenvalue and eigenvector, etc. are computedthrough some examples included, and the stability and its featuresof the system are analyzed further.
Keywords:discrete-event system  Max-algebra  linear system  modeling  
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