By S. Tarbouriech, C.T. Abdallah, J. Chiasson
The realm of conversation and desktop networks has develop into a really energetic box of analysis through the keep an eye on platforms group within the final years. instruments from convex optimization and keep an eye on thought are enjoying expanding roles in effective community usage, reasonable source allocation, and communique hold up lodging and the sector of Networked keep watch over structures is quickly turning into a mainstay of keep an eye on platforms examine and purposes. This rigorously edited ebook brings jointly solicited contributions from specialists within the a number of components of communication/control networks relating either networks below keep watch over (control in networks) in addition to networked keep an eye on platforms (control over networks). the purpose of this ebook is to opposite the fashion of fragmentation and specialization in communique keep watch over Networks connecting a variety of interdisciplinary examine fields together with regulate, verbal exchange, utilized arithmetic and computing device technology.
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Extra info for Advances in Communication Control Networks
27–47, 2004. © Springer-Verlag Berlin Heidelberg 2005 28 Hyojeong Choe and Steven H. Low Second, this paper is motivated by the stability theory for linear distributed and delayed system recently developed in [10, 19, 20, 21, 22]. In particular, a TCP/AQM algorithm is designed in  that maintains linear stability for arbitrary network delays and capacities. It is in the class of “dual” algorithms of  that use static source algorithms, and it employs a sophisticated scaling with respect to network delays and capacities to achieve high utilization and fast response without compromising stability.
Low and David E. Lapsley. Optimization ﬂow control, I: basic algorithm and convergence. IEEE/ACM Transactions on Networking, 7(6):861– 874, December 1999. edu.  Steven H. Low, Larry Peterson, and Limin Wang. Understanding Vegas: a duality model. J. 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.
The results below say that Vegas is linearly stable if the equilibrium window size is sufﬁciently small (Theorem 1), or equivalently, if the equilibrium queueing delay is sufﬁciently large (Corollary 1). Theorem 1. Suppose for all r, k0 Tr ≥ maxr Tr for some k0 . Let M be an upper bound on the number of links in the path of any source, M ≥ maxr ∑l Rlr . The Vegas model described by (4) and (6) is locally asymptotically stable around the equilibrium point (x∗r , y∗l , p∗l , q∗r ) if ηˆ α max x∗r Tr sinc θ ∗ (15) < r xr Tr Mk02 where ηˆ := 2η/π and sinc θ = sin θ/θ.
Advances in Communication Control Networks by S. Tarbouriech, C.T. Abdallah, J. Chiasson