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Karl J. Astrom, "Oscillations in Systems with Relay Feedback," in Adaptive control, filtering and signal processing, IMA Volume sin Mathematics and its Applications, 1995, vol. 74, pp. 1--25.

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A Control Theoretic Analysis of RED - Hollot, Misra, Towsley, Gong (2001)   (110 citations)  (Correct)

....such an on off mechanism 3 also referred to as relay control in the feedback literature. sR e s P d q C(s) d p 0 Fig. 6. Block diagram of a linearized AQM control system leads to oscillations (limit cycles) that can exhibit complex and chaotic behavior; e.g. see [14]. Such oscillations may be undesirable in queue management, and RED was introduced to stabilize them. A transfer function model for RED is: 7) where F 45200 H ) is the queue averaging parameter and H is the sample time; see [9] In ....

Karl J. Astrom, "Oscillations in Systems with Relay Feedback," in Adaptive control, filtering and signal processing, IMA Volume sin Mathematics and its Applications, 1995, vol. 74, pp. 1--25.


A Control Theoretic Analysis of RED - Hollot, Misra, Towsley, Gong (2000)   (110 citations)  (Correct)

....or RED. Tail drop is an on off control strategy. In terms of our set up in Figure 6, tail drop amounts to the on off action p 2 f0; 1g. It is known in control theory that such an on off mechanism 4 leads to oscillations (limit cycles) that can exhibit complex and chaotic behavior; e.g. see [11]. Such oscillations may be undesirable in queue management, and RED was introduced to stabilize them. 4 also referred to as relay control in the feedback literature. 12 A transfer function model for RED is: C(s) C red (s) L red s=K 1 ; 6) where L red = p max max th min th ; K = ....

K. J. Astrom, "Oscillations in Systems with Relay feedback," in Adaptive control, filtering and signal processing, IMA Volume sin Mathematics and its Applications, vol. 74, pp. 1--25, 1995.

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