Controlled synchronization via nonlinear integral coupling

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Abstract

This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems’ states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.
Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers
Pages5263-5268
ISBN (Print)978-1-4244-3871-6
DOIs
Publication statusPublished - 2009

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