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AIMD Dynamics and Distributed Resource Allocation (Paperback): Martin J. Corless, C. King, R. Shorten, F. Wirth AIMD Dynamics and Distributed Resource Allocation (Paperback)
Martin J. Corless, C. King, R. Shorten, F. Wirth
R2,566 R2,431 Discovery Miles 24 310 Save R135 (5%) Ships in 12 - 19 working days

This is the first comprehensive book on the AIMD algorithm, the most widely used method for allocating a limited resource among competing agents without centralized control. The authors offer a new approach that is based on positive switched linear systems. It is used to develop most of the main results found in the book, and fundamental results on stochastic switched nonnegative and consensus systems are derived to obtain these results. The original and best known application of the algorithm is in the context of congestion control and resource allocation on the Internet, and readers will find details of several variants of the algorithm 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.

Linear Systems and Control - An Operator Perspective (Hardcover): Martin J. Corless Linear Systems and Control - An Operator Perspective (Hardcover)
Martin J. Corless; Series edited by Zuhair Nashed, Earl Taft; Edited by Art Frazho
R6,378 R5,387 Discovery Miles 53 870 Save R991 (16%) Ships in 12 - 19 working days

Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.

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