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Summary: STABILITY OF COMMUNICATIONS
NETWORKS IN THE PRESENCE OF DELAYS
Chaouki Abdallah ,1
John Chiasson
ECE Dept, University of New Mexico, Alburquerque NM
87131-1356, 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 effects 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 multiple-delays, magnitude and
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