Queue control under time-variant delays: A discrete time system approach

Peter H. Bauer; Mihail L. Sichitiu; Kamal Premaratne

doi:10.1142/S0218126602000380

Queue control under time-variant delays: A discrete time system approach

Peter H. Bauer, Mihail L. Sichitiu, Kamal Premaratne

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper introduces a discrete time model for time-variant delays and investigates the very nature of such delays. It is shown that a linear system-delay interface is a system theoretic necessity for the construction of composite linear systems with time-variant delays. Based on this analysis, two interfaces of particular importance are presented and used to obtain new, simple to check stability results for queue control systems. The relevance of the presented modeling and stability results on queue control systems to QoS control in modern communication networks is illustrated via several examples.

Original language	English (US)
Pages (from-to)	187-211
Number of pages	25
Journal	Journal of Circuits, Systems and Computers
Volume	11
Issue number	2
DOIs	https://doi.org/10.1142/S0218126602000380
State	Published - Apr 2002

Keywords

Communication networks
Discrete-time systems
Model
Queue control
Time-variant delays

ASJC Scopus subject areas

Hardware and Architecture
Electrical and Electronic Engineering

Access to Document

10.1142/S0218126602000380

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AB - This paper introduces a discrete time model for time-variant delays and investigates the very nature of such delays. It is shown that a linear system-delay interface is a system theoretic necessity for the construction of composite linear systems with time-variant delays. Based on this analysis, two interfaces of particular importance are presented and used to obtain new, simple to check stability results for queue control systems. The relevance of the presented modeling and stability results on queue control systems to QoS control in modern communication networks is illustrated via several examples.

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