# Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction

@article{Colombo2021StabilizationOP,
title={Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction},
author={Giovanni Colombo and Paolo Gidoni and Emilio Vilches},
journal={Discrete \& Continuous Dynamical Systems},
year={2021}
}
• Published 4 March 2021
• Mathematics
• Discrete & Continuous Dynamical Systems
<p style='text-indent:20px;'>We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger <inline-formula><tex-math id="M1">\begin{document}$W^{1,2}$\end{document}</tex-math></inline-formula> convergence. Then we present an application to a model of crawling locomotion. Our stronger convergence allows us to prove the stabilization of the system to a running…
2 Citations

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