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 language | English |
|---|---|
| Pages (from-to) | 931-936 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| Publication status | Published - 1 Dec 1999 |
| Externally published | Yes |
| Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, United States Duration: 7 Dec 1999 → 10 Dec 1999 |
ASJC Scopus subject areas
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality