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• W3201401475 abstract "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 $W^{1,2}$ 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-periodic (or derivo-periodic, or relative-periodic) solution and the well-posedness of an average asymptotic velocity depending only on the gait adopted by the crawler. Finally, we discuss some examples of finite-time versus asymptotic-only convergence." @default.
• W3201401475 created "2021-09-27" @default.
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• W3201401475 date "2022-01-01" @default.
• W3201401475 modified "2023-09-26" @default.
• W3201401475 title "Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction" @default.
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• W3201401475 doi "https://doi.org/10.3934/dcds.2021135" @default.
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