bibtype J - Journal Article
ARLID 0552385
utime 20230418231923.6
mtime 20220127235959.9
WOS 000697764200001
SCOPUS 85119082722
DOI 10.3934/dcds.2021135
title (primary) (eng) Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
specification
page_count 21 s.
media_type P
serial
ARLID cav_un_epca*0255898
ISSN 1078-0947
title Discrete and Continuous Dynamical Systems
volume_id 42
volume 2 (2022)
page_num 737-757
publisher
name AIMS Press
keyword sweeping process
keyword running-periodic solutions
keyword relative-periodic solutions
keyword asymptotic stability
keyword crawling locomotion
author (primary)
ARLID cav_un_auth*0039661
name1 Colombo
name2 G.
country IT
author
ARLID cav_un_auth*0390416
name1 Gidoni
name2 Paolo
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
country IT
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0422979
name1 Vilches
name2 E.
country CL
source
url http://library.utia.cas.cz/separaty/2022/MTR/gidoni-0552385.pdf
source
url https://www.aimsciences.org/article/doi/10.3934/dcds.2021135
cas_special
project
project_id GF19-29646L
agency GA ČR
country CZ
ARLID cav_un_auth*0385134
abstract (eng) 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.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10102
reportyear 2022
num_of_auth 3
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0327549
confidential S
mrcbC91 C
mrcbT16-e MATHEMATICS|MATHEMATICSAPPLIED
mrcbT16-j 0.869
mrcbT16-s 1.13
mrcbT16-D Q1
mrcbT16-E Q1
arlyear 2022
mrcbU14 85119082722 SCOPUS
mrcbU24 PUBMED
mrcbU34 000697764200001 WOS
mrcbU63 cav_un_epca*0255898 Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 Roč. 42 č. 2 2022 737 757 AIMS Press