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Congestion Control as a Constrained State Regulation Problem

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Dynamics and Control

Abstract

This paper investigates the field of congestion control in networks. It provides a new approach based on viability theory and feedback regulation. Basically it is shown that feedback control laws which lead to congestion avoidance can be derived by a selection procedure of a certain set-valued map. Finally, the paper studies existence of stabilizing congestion feedback by using Lyapunov theory along with some facts of set-valued analysis.

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Authors and Affiliations

  1. Department of Mathematics, University Hassan II, P.O. Box 5366, Casablanca, Morocco

    K. Kassara

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  1. K. Kassara
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Kassara, K. Congestion Control as a Constrained State Regulation Problem. Dynamics and Control 11, 297–306 (2001). https://doi.org/10.1023/A:1015288406604

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  • DOI: https://doi.org/10.1023/A:1015288406604

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