@inproceedings{caf30412748840abbd304c1db4ea4885,
title = "Bounded phase synchronization of multirate kuramoto networks through decentralised or distributed control",
abstract = "This paper studies the bounded phase synchronization of a general multirate Kuramoto oscillator network by using decentralised or distributed control. The proposed control laws consists of the feedback information of oscillators' phases. We present two methods to design the control gains for both control types such that the phases of oscillators ultimately converge into any given region. These two control gain design methods are related to the eigenvalues of a graph Laplacian matrix or a graph path set, which increases the flexibility in the gain design process. Using an energy function method, we estimate a positively invariant set for the Kuramoto network to achieve transient boundedness on the network's dynamics. The estimate of the positively invariant set is further improved if the network's parameters satisfy a certain condition, based on an extended energy function. The effectiveness and conser-vativeness of the two control methods are demonstrated and compared on simulation studies.",
author = "Liang Wu and Pota, \{Hemanshu R.\} and Petersen, \{Ian R.\}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017 ; Conference date: 03-10-2017 Through 06-10-2017",
year = "2017",
month = jul,
day = "1",
doi = "10.1109/ALLERTON.2017.8262763",
language = "English",
series = "55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "382--389",
booktitle = "55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017",
address = "United States",
}