By Andrew Clark, Basel Alomair, Linda Bushnell, Radha Poovendran, John Baillieul
Foreword through John Baillieul
This e-book offers a framework for the regulate of networked structures using submodular optimization options. the focus is on choosing enter nodes for the keep an eye on of networked structures, an inherently discrete optimization challenge with purposes in strength method balance, social effect dynamics, and the keep an eye on of auto formations. the 1st a part of the publication is dedicated to heritage info 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 platforms according to a number of functionality and controllability standards. innovations are brought for choosing enter nodes to make sure gentle convergence, synchronization, and robustness to environmental and opposed noise. Submodular optimization is the 1st unifying strategy 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 reports in organic, strength and vehicular systems.
The booklet successfully combines parts of turning out to be curiosity, and should be in particular important for researchers up to speed conception, utilized arithmetic, networking or computing device studying with event in submodular optimization yet who're much less accustomed to the issues and instruments to be had for networked platforms (or vice versa). it's going to additionally profit graduate scholars, delivering constant terminology and notation that significantly reduces the preliminary attempt linked to starting a process examine in a brand new area.