Title
Lyapunov stability and precise control of the frictional dynamics of a one-dimensional particle array
Abbreviated Journal Title
Phys. Rev. B
Keywords
FRENKEL-KONTOROVA MODEL; STICK-SLIP MOTION; Physics, Condensed Matter
Abstract
Using Lyapunov theory and numerical simulations, we analyze the local stability of an array of mechanically coupled particles whose frictional dynamics is described by the Frenkel-Kontorova model, and design feedback controls to precisely control the friction. We first establish the asymptotic stability of the system around the equilibrium positions of the particles. We then show how to construct efficient feedback control laws to achieve any predestined average velocity of the particle array, with no fluctuation, and irrespective of the detailed nature of the interparticle coupling. These rigorous results are supported in extensive numerical simulations, and are expected to be applicable to other related physical systems as well.
Journal Title
Physical Review B
Volume
73
Issue/Number
9
Publication Date
1-1-2006
Document Type
Article
Language
English
First Page
5
WOS Identifier
ISSN
1098-0121
Recommended Citation
"Lyapunov stability and precise control of the frictional dynamics of a one-dimensional particle array" (2006). Faculty Bibliography 2000s. 6184.
https://stars.library.ucf.edu/facultybib2000/6184
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu