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。
In this paper, hybrid states ate 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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1993年第5期523-528,共6页
Control Theory & Applications
基金
国家自然科学基金
关键词
DEDS
混合状态
模型
discrete event dynamic systems (DEDS)
hybrid slate
Markov process
semi-group
model
