Synchronization in Arrays of Coupled Nonlinear systems: Passivity, CircleCriterion and Observer Design

Copyright [©] (2001) by IEEE. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distrubuted for profit. To copy otherwise, to republish, to post on servers, or to redistribute to lists, requires prior specific permission and/or a fee.

It has been shown that synchronization between two nonlinear systems
can be studied as a control theory problem. We show in this letter
that this relation can be extended to synchronization in coupled
arrays of nonlinear systems. In particular, we extend several
stability conditions to synchronization criteria in arrays: the
passivity criterion, the circle criterion and a result on observer
design of Lipschitz nonlinear systems.

By: Chai Wah Wu

Published in: IEEE Transactions on Circuits and Systems. Part I: Fundamental Theory and Applications, volume 48, (no 10), pages 1257-61 in 2001

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