| bibtype |
J -
Journal Article
|
| ARLID |
0434417 |
| utime |
20240103204947.8 |
| mtime |
20141124235959.9 |
| SCOPUS |
84907249388 |
| WOS |
000341776500001 |
| DOI |
10.3934/dcdsb.2014.19.2709 |
| title
(primary) (eng) |
On optimal control of a sweeping process coupled with an ordinary differential equation |
| specification |
| page_count |
30 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257845 |
| ISSN |
1531-3492 |
| title
|
Discrete and Continuous Dynamical Systems-Series B |
| volume_id |
19 |
| volume |
9 (2014) |
| page_num |
2709-2738 |
| publisher |
|
|
| keyword |
optimal control |
| keyword |
variational inequality |
| keyword |
variational analysis |
| keyword |
coderivative |
| keyword |
solution map |
| keyword |
queuing theory |
| author
(primary) |
| ARLID |
cav_un_auth*0309054 |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| full_dept |
Department of Decision Making Theory |
| name1 |
Adam |
| name2 |
Lukáš |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| name1 |
Outrata |
| name2 |
Jiří |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0289475 |
| project_id |
GAP201/12/0671 |
| agency |
GA ČR |
| country |
CZ |
|
| project |
| ARLID |
cav_un_auth*0294527 |
| project_id |
SVV-2013-267315 |
| agency |
GA MŠk |
| country |
CZ |
|
| abstract
(eng) |
We study a special case of an optimal control problem governed by a differential equation and a differential rate-independent variational inequality, both with given initial conditions. Under certain conditions, the variational inequality can be reformulated as a differential inclusion with discontinuous right-hand side. This inclusion is known as sweeping process. We perform a discretization scheme and prove the convergence of optimal solutions of the discretized problems to the optimal solution of the original problem. For the discretized problems we study the properties of the solution map and compute its coderivative. Employing an appropriate chain rule, this enables us to compute the subdifferential of the objective function and to apply a suitable optimization technique to solve the discretized problems. The investigated problem is used to model a situation arising in the area of queuing theory. |
| RIV |
BA |
| reportyear |
2015 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0239354 |
| cooperation |
| ARLID |
cav_un_auth*0296304 |
| name |
Matematicko-fyzikální fakulta KU |
| institution |
MFF KU |
| country |
CZ |
|
| confidential |
S |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
0.693 |
| mrcbT16-s |
0.792 |
| mrcbT16-4 |
Q2 |
| mrcbT16-B |
56.271 |
| mrcbT16-C |
42.607 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2014 |
| mrcbU14 |
84907249388 SCOPUS |
| mrcbU34 |
000341776500001 WOS |
| mrcbU63 |
cav_un_epca*0257845 Discrete and Continuous Dynamical Systems-Series B 1531-3492 1553-524X Roč. 19 č. 9 2014 2709 2738 AIMS Press |
|