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Summary: Bounded Control of Multiple-Delay Systems with
Applications to ATM Networks
Sophie Tarbouriech
, Chaouki T. Abdallah
, and Marco Ariola
L.A.A.S - C.N.R.S, 7 Avenue du Colonel Roche, 31077 Toulouse cedex 4, FRANCE.
E-mail: tarbour@laas.fr
Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, USA.
chaouki@eece.unm.edu
Dipartimento di Informatica e Sistemistica, Universit`a degli Studi di Napoli Federico II, Napoli, ITALY.
ariola@unina.it.
Abstract
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 rate
constraints on the inputs, amplitude limitation on the state, and additive disturbances. In this paper,
we consider a fixed-structure controller for an ATM/ABR network, and solve a robust tracking control
problem in which the target is a threshold on the queue level.
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