@inbook{781e2031cd8d43399884f0e88dec8adf,
title = "Selecting catalyst nodes for synchronization",
abstract = "Synchronization phenomena underlie stable operation of power grid, memory and cognition in the brain, and coordination of man-made networked systems. This chapter studies the problem of ensuring synchronization of phase oscillators by pinning a subset of catalyst nodes to a desired frequency and phase, with focus on the classical Kuramoto model of coupled oscillators. Threshold-based conditions for synchronization with external catalyst nodes are discussed, as well as efficient algorithms for verifying those conditions. A submodular optimization framework for selecting catalyst nodes to guarantee convergence to a stable synchronized state is introduced. A case study on synchronization of power grids is presented.",
keywords = "Europe",
author = "Andrew Clark and Basel Alomair and Linda Bushnell and Radha Poovendran",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
doi = "10.1007/978-3-319-26977-1_6",
language = "English",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9783319269757",
pages = "105--127",
booktitle = "Communications and Control Engineering",
edition = "9783319269757",
}