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The present paper proposes a control-theoretic approach to design rate-based controllers in order to flow-regulate the best-effort service in asynchronous transfer mode (ATM) switching networks. The proposed control uses a recursive digital filtering controller, where the control parameters can be designed to ensure the stability of the control loop in a control-theoretic sense. The stability of closed-loop congestion-controlled systems is analyzed by using Schur–Cohn stability criterion, which leads to certain necessary and sufficient stability condition under which the controlled ATM switching network is asymptotically stable in terms of buffer occupancy. Such proposed stability condition is then shown to be a key tool in designing a wide scope of adaptive controllers. Further, we demonstrate that a fair share of the available bandwidth at the bottleneck node can be achieved according to the proposed control policy …