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 |
|
|
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 |
|
source |
|
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 |
|