Local synchronization of sampled-data systems on one-parameter Lie subgroups
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Date
2017-07-03
Authors
McCarthy, Philip James
Nielsen, Christopher
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE
Abstract
We present a distributed nonlinear control law
for synchronization of identical agents on one-parameter Lie
subgroups. If the agents are initialized sufficiently close to one
another, then synchronization is achieved exponentially fast.
The proof does not use Jacobian linearization, instead the local
nature of our result stems from our use of exponential coordi nates on a matrix Lie group. We characterize all equilibria
of the network and provide a characterization of deadbeat
performance for a complete connectivity graph.
Description
McCarthy, P. J., & Nielsen, C. (2017). Local synchronization of sampled-data systems on one-parameter Lie subgroups. 2017 American Control Conference (ACC), 3914–3919. https://doi.org/10.23919/ACC.2017.7963554
Keywords
Synchronization, Artificial neural networks, Aerospace electronics, Eigenvalues and eigenfunctions, Oscillators, Control theory, Jacobian matrices