引用本文:姜胜兵,黄志同.离散事件动态系统的混合状态模型[J].控制理论与应用,1993,10(5):523~528.[点击复制]
JIANG Shengbing and HUANG Zhitong.A Hybrid State Model for Discrete Event Dynamic Systems[J].Control Theory and Technology,1993,10(5):523~528.[点击复制]
离散事件动态系统的混合状态模型
A Hybrid State Model for Discrete Event Dynamic Systems
摘要点击 983  全文点击 373  投稿时间:1991-12-11  修订日期:1993-04-09
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DOI编号  
  1993,10(5):523-528
中文关键词  离散事件动态系统  混合状态  马氏过程  半群  模型
英文关键词  discrete event dynamic systems(DEDS)  hybrid state  Markov process  semi-group  model
基金项目  
作者单位
姜胜兵,黄志同 南京理工大学自动控制系 
中文摘要
      本文通过引入混合状态,使大部分DEDS成为时齐的混合状态马氏过程。然后用半群理论来研究该马氏过程,建立了有关半群算子的偏微分方程,并进一步把该方程转化为积分方程,并证明了积分方程有唯一解,解可由迭代法求出。
英文摘要
      In this paper, hybrid states are introduced to study DEDS. Based on the description of hybrid states and under certain assumptions, the system becomes a time-homogeneous hybrid state Markov process. Semi-group theory is used to study the Markov process. A partial differential equation is obtained, and the equation is further changed into an integral equation. It is proved that the integral equation has an unique solution.