• DocumentCode
    1849847
  • Title

    Existence and stability of limit cycles in hybrid dynamical systems with constant derivatives. 2. Applications

  • Author

    Matveev, Alexey S. ; Savkin, Andrey V.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
  • Volume
    5
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    4386
  • Abstract
    In this part of the paper, we introduce examples to illustrate the theory developed in part I (ibid. (1999)). These examples can be interpreted as mathematical models for flexible manufacturing systems and queueing networks. Using the results of part I, we prove that the systems considered in the examples have a finite number of limit cycles attracting all the trajectories. We determine this number and the region of attraction for each limit cycle
  • Keywords
    automata theory; flexible manufacturing systems; limit cycles; production control; stability; automata theory; derivatives; flexible manufacturing systems; hybrid dynamical systems; limit cycles; queueing networks; region of attraction; stability; Australia Council; Automata; Automatic control; Control systems; Flexible manufacturing systems; Limit-cycles; Mathematical model; Network servers; Stability; Switches;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.833233
  • Filename
    833233