The stability of a class of discrete event systems using Markov chains

被引:1
|
作者
Astuti, P
McCarragher, BJ
机构
[1] Department of Engineering, Australian National University, Canberra, ACT
基金
澳大利亚研究理事会;
关键词
The first author was supported by the Ministry of Education and Culture; Indonesia and the Zonta International Foundation. The work was sponsored by the Australian Research Council; Large Grants Scheme;
D O I
10.1080/00207179608921635
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a stability concept of a class of discrete event systems (DESs) using Markov chains. The DESs under consideration are modelled as state machines adopted from Ramadge-Wonham, which represent the hybrid dynamic models of constrained motion systems. By identifying the probability of firing enabled events of the DES, p-convergence is proposed. Some properties of p-convergence are investigated including the fact that p-convergence is a generalization of the convergence proposed by Brave and Heymann yet it is less restrictive. The application of p-convergence is shown for a robotic assembly DES.
引用
收藏
页码:391 / 408
页数:18
相关论文
共 50 条
  • [41] STATISTICS OF A CLASS OF MARKOV CHAINS
    DENG Yingchun(Department of Mathematics
    JournalofSystemsScienceandComplexity, 2004, (03) : 387 - 398
  • [42] Supervisor synthesis for a class of concurrent discrete event systems
    Takai, SE
    Ushio, T
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 2686 - 2691
  • [43] Diagnosis of a class of timed discrete-event systems
    Derbel, Haithem
    Yeddes, Moez
    Ben Hadj-Alouane, Nejib
    Alla, Hassane
    WODES 2006: EIGHTH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, PROCEEDINGS, 2006, : 256 - +
  • [44] A Class of Distributed Markov Chains
    Thiagarajan, P. S.
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2014, (156): : 3 - 3
  • [45] Diagnosability of a class of discrete event systems based on observations
    Reshmila, S.
    Rajagopalan, Devanathan
    CONTROL THEORY AND TECHNOLOGY, 2019, 17 (03) : 265 - 275
  • [46] Diagnosis of a class of distributed discrete-event systems
    Baroni, P
    Lamperti, G
    Pogliano, P
    Zanella, M
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2000, 30 (06): : 731 - 752
  • [47] Diagnosability of a class of discrete event systems based on observations
    S. Reshmila
    Devanathan Rajagopalan
    Control Theory and Technology, 2019, 17 : 265 - 275
  • [48] Stability Analysis of Discrete Event Systems Modeled by Petri Nets Using Unfoldings
    Lutz-Ley, Alberto
    Lopez-Mellado, Ernesto
    IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2018, 15 (04) : 1964 - 1971
  • [49] Stability and Stabilization of a Class of Discrete-Time Fuzzy Systems With Semi-Markov Stochastic Uncertainties
    Zhang, Lixian
    Yang, Ting
    Shi, Peng
    Liu, Ming
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2016, 46 (12): : 1642 - 1653
  • [50] Stability of a class of discrete switched fuzzy systems
    School of Information Engineering, Shenyang University, Shenyang 110044, China
    不详
    Kong Zhi Li Lun Yu Ying Yong, 2007, 5 (861-865):