Piecewise linear Lyapunov function for the stability of priority fluid networks

Hong Chen, Hengqing Ye

Research output: Journal article publicationConference articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

In this paper, a class of piecewise linear Lyapunov functions are used to obtain the sufficient conditions for the stability of multiclass fluid networks under priority service disciplines. This extends and generalizes the existing work that is based on a linear Lyapunov function. This also complements the existing work that uses the piecewise linear Lyapunov function approach to study the global stability of multiclass queueing networks. A three-station network example is used to illustrate the quality of this sufficient condition. The preliminary results indicate that the piecewise linear Lyapunov function approach yields better sufficient conditions and provides a promising approach.
Original languageEnglish
Pages (from-to)931-936
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
Publication statusPublished - 1 Dec 1999
Externally publishedYes
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, United States
Duration: 7 Dec 199910 Dec 1999

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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