A time-scale decomposition approach to adaptive explicit congestion notification (ECN) marking

Srisankar Kunniyur, R. Srikant

Research output: Contribution to journalArticlepeer-review


Fair resource allocation in high-speed networks, such as the Internet, can be viewed as a constrained optimization program. Kelly et al. have shown that an unconstrained penalty function formulation of this problem can be used to design congestion controllers that are stable. In this paper, we examine the question of providing feedback from the network such that the congestion controllers derived from the penalty function formulation lead to the solution of the original unconstrained problem. This can be viewed as the decentralized design of explicit congestion notification (ECN) marking rates at each node in the Internet to ensure global loss-free operation of a fluid model of the network. We then look at the stability of such a scheme using a time-scale decomposition of the system. This results in two seperate systems which are stable individually, and we show that under certain assumptions the entire system is semiglobally stable and converges fast to the equilibrium point exponentially.

Original languageEnglish (US)
Pages (from-to)882-894
Number of pages13
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 2002


  • Adaptive virtual queue
  • Congestion control
  • Explicit congestion notification (ECN) marking
  • Internet
  • Singular perturbations

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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