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ACKclocking dynamics: Modeling the interaction between windows and the network
 In Proc. IEEE Infocom
, 2008
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Queue Dynamics with Window Flow Control
, 2010
"... This paper develops a new model that describes the queueing process of a communication network when data sources use window flow control. The model takes into account the burstiness in subroundtrip time (RTT) timescales and the instantaneous rate differences of a flow at different links. It is ge ..."
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Cited by 8 (4 self)
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This paper develops a new model that describes the queueing process of a communication network when data sources use window flow control. The model takes into account the burstiness in subroundtrip time (RTT) timescales and the instantaneous rate differences of a flow at different links. It is generic and independent of actual source flow control algorithms. Basic properties of the model and its relation to existing work are discussed. In particular, for a general network with multiple links, it is demonstrated that spatial interaction of oscillations allows queue instability to occur even when all flows have the same RTTs and maintain constant windows. The model is used to study the dynamics of delaybased congestion control algorithms. It is found that the ratios of RTTs are critical to the stability of such systems, and previously unknown modes of instability are identified. Packetlevel simulations and testbed measurements are provided to verify the model and its predictions.
An improved link model for window flow control and its application to FAST TCP
 IEEE TRANSACTIONS ON AUTOMATIC CONTROL
, 2009
"... This paper presents a link model which captures the queue dynamics in response to a change in a transmission control protocol (TCP) source’s congestion window. By considering both selfclocking and the link integrator effect, the model generalizes existing models and is shown to be more accurate by ..."
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Cited by 7 (3 self)
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This paper presents a link model which captures the queue dynamics in response to a change in a transmission control protocol (TCP) source’s congestion window. By considering both selfclocking and the link integrator effect, the model generalizes existing models and is shown to be more accurate by both open loop and closed loop packet level simulations. It reduces to the known static link model when flows ’ round trip delays are identical, and approximates the standard integrator link model when there is significant cross traffic. We apply this model to the stability analysis of fast active queue management scalable TCP (FAST TCP) including its filter dynamics. Under this model, the FAST control law is linearly stable for a single bottleneck link with an arbitrary distribution of round trip delays. This result resolves the notable discrepancy between empirical observations and previous theoretical predictions. The analysis highlights the critical role of selfclocking in TCP stability, and the proof technique is new and less conservative than existing ones.
ThC18.2 On Performance Limitations of Congestion Control
"... Abstract — Fundamental performance limitations on congestion control is discussed in relation to the information that is available in the controller. Three control architectures that all use bottleneck buffer delay information of various form as inputs and sending rate as outputs are considered. It ..."
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Cited by 1 (1 self)
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Abstract — Fundamental performance limitations on congestion control is discussed in relation to the information that is available in the controller. Three control architectures that all use bottleneck buffer delay information of various form as inputs and sending rate as outputs are considered. It is shown that feedback delays from buffer to senders set limits on the achievable performance measured through fairness, efficiency and stability. We apply our findings to TCP FAST and can make some new interesting control theoretic interpretations of that protocol. I.
Stability and Robustness Conditions using Frequency Dependent Half Planes
"... AbstractThis paper presents a sufficient condition that establishes closed loop stability for linear time invariant dynamical systems with transfer functions that are analytic in the open right half complex plane. The condition is suitable for analyzing a large class of highly complex, possibly in ..."
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AbstractThis paper presents a sufficient condition that establishes closed loop stability for linear time invariant dynamical systems with transfer functions that are analytic in the open right half complex plane. The condition is suitable for analyzing a large class of highly complex, possibly interconnected, systems. The result is based on bounding Nyquist curves by using frequency dependent half planes. It provides (usually nontrivial) robustness guarantees for the provably stable systems and generalizes to the multidimensional case using matrix field of values. Concrete examples illustrate the applications of the condition. From our condition, it is easy to derive a relaxed version of the classical result that the interconnection of a positive real and strictly positive real linear system under feedback is closed loop stable.
49th IEEE Conference on Decision and Control
"... Nonlinear statedependent delay modeling and stability analysis of internet congestion control ..."
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Nonlinear statedependent delay modeling and stability analysis of internet congestion control