@inproceedings{91378d2c351f412ab5fa29e6dcc660ac,
title = "Algorithms for leader selection in large dynamical networks: Noise-free leaders",
abstract = "We consider networks of single-integrator systems, where it is desired to optimally assign a predetermined number of systems to act as leaders. Performance is measured in terms of the H2 norm of the overall network, and the leaders are assumed to always follow their desired state trajectories. We demonstrate that, after applying a sequence of relaxations, the problem can be formulated as a semidefinite program and thus solved efficiently. We compare the results of our algorithms against others reported in the literature. Finally, we interpret the leader selection problem in terms of electrical networks and Kron reduction theory.",
keywords = "Consensus, Kron reduction, convex optimization, convex relaxation, effective resistance, leader selection, semidefinite programing, sparsity",
author = "Makan Fardad and Fu Lin and Mihailo Jovanovic",
year = "2011",
doi = "10.1109/CDC.2011.6161482",
language = "English (US)",
isbn = "9781612848006",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "7188--7193",
booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",
note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",
}