0552385 20230418231923.620220127235959.9 000697764200001 85119082722 10.3934/dcds.2021135 Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction 21 s. P cav_un_epca*02558981078-0947Discrete and Continuous Dynamical Systems422 (2022)737-757AIMS Press sweeping process running-periodic solutions relative-periodic solutions asymptotic stability crawling locomotion cav_un_auth*0039661 Colombo G. IT cav_un_auth*0390416 Gidoni Paolo UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR IT K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0422979 Vilches E. CL http://library.utia.cas.cz/separaty/2022/MTR/gidoni-0552385.pdf https://www.aimsciences.org/article/doi/10.3934/dcds.2021135 GF19-29646L GA ČR CZ cav_un_auth*0385134 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 W1,2 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. WOS BA 10000 10100 10102 2022 3 RVO:67985556 http://hdl.handle.net/11104/0327549 S Article Mathematics Applied|Mathematics C MATHEMATICS|MATHEMATICS.APPLIED 1.3 0.2 7.9 0.01098 0.869 5545 1.13 1.100 217 Q2 54.7 Q1 Q1 0.91 Q1 69.5 2022 85119082722 SCOPUS PUBMED 000697764200001 WOS cav_un_epca*0255898 Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 Roč. 42 č. 2 2022 737 757 AIMS Press