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

  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},
<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… 
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