By S. Tarbouriech, C.T. Abdallah, J. Chiasson
The world of verbal exchange and laptop networks has turn into a really lively box of study by means of the regulate structures group within the final years. instruments from convex optimization and regulate idea are taking part in expanding roles in effective community usage, reasonable source allocation, and communique hold up lodging and the sector of Networked keep watch over platforms is quick turning into a mainstay of keep an eye on platforms study and purposes. This conscientiously edited e-book brings jointly solicited contributions from specialists within the quite a few components of communication/control networks pertaining to either networks lower than regulate (control in networks) in addition to networked regulate platforms (control over networks). the purpose of this booklet is to opposite the fad of fragmentation and specialization in communique keep watch over Networks connecting a number of interdisciplinary study fields together with keep watch over, verbal exchange, utilized arithmetic and machine technological know-how.
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Advances in Communication Control Networks, LNCIS 308, pp. 49–63, 2004. © Springer-Verlag Berlin Heidelberg 2005 50 ¨ Peng Yan and Hitay Ozbay 2 Mathematical Model of TCP/AQM In , a nonlinear dynamic model for TCP congestion control was derived, where the network topology was assumed to be a single bottleneck with N homogeneous TCP ﬂows sharing the link. The congestion avoidance phase of TCP can be modeled as AIMD (additive-increase and multiplicative-decrease), where each positive ACK increases the TCP window size W (t) by one per RTT and a congestion indication reduces W (t) by half.
Of ACM, 49(2):207–235, March 2002. http://netlab. edu.  L. Massoulie and J. Roberts. Bandwidth sharing: objectives and algorithms. fr/\%7Emistral/ In Infocom’99, March 1999. html.  J. Mo, R. La, V. Anantharam, and J. Walrand. Analysis and comparison of TCP Reno and Vegas. In Proceedings of IEEE Infocom, March 1999.  Jeonghoon Mo and Jean Walrand. Fair end-to-end window-based congestion control. IEEE/ACM Transactions on Networking, 8(5):556–567, October 2000.  Fernando Paganini, John C.
It can be shown that an uncertainty bound W2 0 satisfying (θ0 ,∆θ) |∆Pθ (s)|s= jω ≤ |W2 (s)|s= jω ∀ω ∈ R+ (12) is (see details of the derivation in Sect. 4) (θ0 ,∆θ) W2 (s) = a + bs + cs2 (13) where a, b and c are deﬁned in (29). Note that once θ0 and ∆θ are ﬁxed, these coefﬁcients are ﬁxed. Combining the robust stability and the nominal tracking performance condition, we come up with a two block inﬁnite dimensional H ∞ optimization problem as follows: Minimize γ, such that robust controller C0 (s) is stabilizing P0 (s) and W1 (s)S0 (s) (θ0 ,∆θ) (s)T0 (s) W2 ≤γ (14) ∞ where S0 (s) = (1 + P0(s)C0 (s))−1 T0 (s) = 1 − S0(s) = P0 (s)C0 (s)(1 + P0(s)C0 (s))−1 , and W1 (s) = 1/s is for good tracking of step-like reference inputs.