By Andrew Clark,Basel Alomair,Linda Bushnell,Radha Poovendran,John Baillieul
This booklet offers a framework for the keep watch over of networked platforms using submodular optimization thoughts. the main target is on choosing enter nodes for the regulate of networked platforms, an inherently discrete optimization challenge with functions in strength process balance, social impression dynamics, and the keep an eye on of car formations. the 1st a part of the publication is dedicated to historical past details on submodular features, matroids, and submodular optimization, and provides algorithms for disbursed submodular optimization which are scalable to massive networked systems.
In flip, the second one half develops a unifying submodular optimization method of controlling networked structures in keeping with a number of functionality and controllability standards. innovations are brought for choosing enter nodes to make sure tender convergence, synchronization, and robustness to environmental and hostile noise. Submodular optimization is the 1st unifying process in the direction of ensuring either functionality and controllability with provable optimality bounds in static in addition to time-varying networks. through the textual content, the submodular framework is illustrated with the aid of numerical examples and application-based case stories in organic, strength and vehicular systems.
The ebook successfully combines components of starting to be curiosity, and may be specially valuable for researchers up to speed conception, utilized arithmetic, networking or laptop studying with adventure in submodular optimization yet who're much less accustomed to the issues and instruments on hand for networked platforms (or vice versa). it is going to additionally gain graduate scholars, providing constant terminology and notation that tremendously reduces the preliminary attempt linked to starting a process examine in a brand new area.
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Submodularity in Dynamics and Control of Networked Systems (Communications and Control Engineering) by Andrew Clark,Basel Alomair,Linda Bushnell,Radha Poovendran,John Baillieul