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Title: Control of friction at the nanoscale

Abstract

Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power .xi.=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.

Inventors:
; ;
Issue Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1176221
Patent Number(s):
7693587
Application Number:
10/770,857
Assignee:
UT-Battelle, LLC (Oak Ridge, TN)
Patent Classifications (CPCs):
C - CHEMISTRY C10 - PETROLEUM, GAS OR COKE INDUSTRIES C10M - LUBRICATING COMPOSITIONS
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; 42 ENGINEERING

Citation Formats

Barhen, Jacob, Braiman, Yehuda Y., and Protopopescu, Vladimir. Control of friction at the nanoscale. United States: N. p., 2010. Web.
Barhen, Jacob, Braiman, Yehuda Y., & Protopopescu, Vladimir. Control of friction at the nanoscale. United States.
Barhen, Jacob, Braiman, Yehuda Y., and Protopopescu, Vladimir. Tue . "Control of friction at the nanoscale". United States. https://www.osti.gov/servlets/purl/1176221.
@article{osti_1176221,
title = {Control of friction at the nanoscale},
author = {Barhen, Jacob and Braiman, Yehuda Y. and Protopopescu, Vladimir},
abstractNote = {Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power .xi.=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2010},
month = {4}
}

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