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Book synopsis

The AIMD algorithm is the most widely used method for allocating a limited resource among competing agents without centralised control. In this first comprehensive book on the topic, the authors offer a new approach based on positive switched linear systems, which is used to develop most of the main results in the book. Students and researchers alike will benefit from details of several variants of the algorithm, provided in order of increasing complexity, including deterministic, random, linear, and nonlinear versions. In each case, stability and convergence results are derived based on unifying principles. Basic and fundamental properties of the algorithm are described, examples are used to illustrate the richness of the resulting dynamical systems, and applications are provided to show how the algorithm can be used in the context of smart cities, intelligent transportation systems, and the smart grid.

Book details

Book category Books in English Mathematics & science Mathematics Applied mathematics

• Full title: AIMD Dynamics and Distributed Resource Allocation
• Author: M. Corless, C. King, R. Shorten, F. Wirth
• Language: English
• Binding: Paperback
• Number of pages: 249
• EAN: 9781611974218
• ISBN: 1611974216
• ID: 02983203
• Publisher: Society for Industrial & Applied Mathematics,U.S.
• Weight: 47 g
• Dimensions: 229 × 152 × 13 mm
• Date of publishing: 28. February 2016

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