<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Do, Loi</style></author><author><style face="normal" font="default" size="100%">Zdeněk Hurák</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Yuh Yamashita</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Synchronization in the Frenkel-Kontorova Model with Application to Control of Nanoscale Friction</style></title><secondary-title><style face="normal" font="default" size="100%">3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">September</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.sciencedirect.com/science/article/pii/S2405896321017948?via%3Dihub</style></url></web-urls></urls><pub-location><style face="normal" font="default" size="100%">Tokyo, Japan</style></pub-location><volume><style face="normal" font="default" size="100%">54</style></volume><abstract><style face="normal" font="default" size="100%">&lt;p&gt;&lt;span&gt;This paper tailors synchronization of multi-agent systems to motion control of the Frenkel-Kontorova (FK) model, a one-dimensional chain of harmonically coupled identical particles in a spatially periodic potential field. In particular, the goal is to drive all particles in the FK model to the desired trajectory by controlling only a single—boundary—particle. The proposed solution augments harmonic coupling in the FK model with dissipative inter-particle interactions, allowing all particles in the chain to synchronize to a particular reference trajectory. The boundary control represents a special case of pinning control. Moreover, as the FK model describes the frictional dynamics of a nanosheet sliding over a surface, we use its synchronization for controlling the nanoscale sliding friction. The key idea is to introduce a sliding reference trajectory that allows particles to move near synchrony. Synchronization effectively increases the system’s stiffness, so less energy ends up dissipated through inter-particle relative motion, thus reducing the frictional force. We validate the proposed solution through numerical simulations.&lt;/span&gt;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">14</style></issue><custom2><style face="normal" font="default" size="100%">&lt;p&gt;3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021&lt;/p&gt;
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