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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00552385" target="_blank" >RIV/67985556:_____/22:00552385 - isvavai.cz</a>
Result on the web
<a href="https://www.aimsciences.org/article/doi/10.3934/dcds.2021135" target="_blank" >https://www.aimsciences.org/article/doi/10.3934/dcds.2021135</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2021135" target="_blank" >10.3934/dcds.2021135</a>

Result language
angličtina
Original language name
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GF19-29646L" target="_blank" >GF19-29646L: Large Strain Challenges in Materials Science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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