Summary: STABILITY OF COMMUNICATIONS
NETWORKS IN THE PRESENCE OF DELAYS
Chaouki Abdallah #,1 John Chiasson ##
# ECE Dept, University of New Mexico, Alburquerque NM
87131­1356, USA, chaouki@eece.unm.edu
## ECE Dept, University of Tennessee, Knoxville TN
37996, USA, chiasson@utk.edu
Abstract: In this paper, we present a study of the destabilizing e#ects of delay in
communications networks. We the apply results from a companion paper to find
the range of delays for which a Smith predictor controller guarantees the stability
of an ATM/ABR network.
Keywords: Time Delay, Stability, Smith Predictor
1. THE ATM/ABR EXAMPLE
Congestion control in the Available Bit Rate
(ABR) class of Asynchronous Transfer Mode
(ATM) networks poses interesting challenges due
to the presence of multiple­delays, magnitude and
rate constraints on the inputs, amplitude limita­
tion on the state, and additive disturbances. The
ABR class is designed as a best­e#ort class for

Source: Abdallah, Chaouki T- Electrical and Computer Engineering Department, University of New Mexico

Collections: Engineering