• DocumentCode
    86971
  • Title

    On the Linear Separability of the Safe and Unsafe State Subsets of Single-Unit Resource Allocation Systems

  • Author

    Reveliotis, Spyros

  • Author_Institution
    Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    59
  • Issue
    9
  • fYear
    2014
  • fDate
    Sept. 2014
  • Firstpage
    2509
  • Lastpage
    2511
  • Abstract
    The main purpose of this correspondence is to demonstrate, through a counter-example, that, contrary to what was published recently in [1], the states belonging to the safe and unsafe subspaces of a single-unit resource allocation system (SU-RAS) might not be linearly separable. In addition, we identify a particular sub-class of SU-RAS for which the aforementioned property is guaranteed.
  • Keywords
    discrete event systems; resource allocation; set theory; SU-RAS; linear separability; safe subspaces; single-unit resource allocation systems; unsafe subspaces; Automata; Discrete-event systems; Modeling; Monitoring; Resource management; System recovery; Vectors; Deadlock avoidance; discrete event systems; liveness-enforcing supervision; resource allocation systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2304376
  • Filename
    6730901