Geodesic
Study on distributional systems with economic applications
Filomat, Tome 37 (2023) no. 30, p. 10355

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In the present work, two optimal control systems with economic applications are investigated, concerning the minimum cost of production and storage. The framework of distributional systems is used in the study of controllability, applying Lie geometric methods. In both cases of holonomic and nonholonomic distributions, Pontryagin's Maximum Principle leads to optimal solutions. In the case of a non-linear equation, a numerical solution is used. Finally, some numerical examples with graphical representations are given.
DOI : 10.2298/FIL2330355P
Classification : 49K35, 91B02
Keywords: Optimal control, Distributional systems, Controllability, Economic applications 
Liviu Popescu; Esmaeil Peyghan; Ramona Dimitrov; Gabriel Tica. Study on distributional systems with economic applications. Filomat, Tome 37 (2023) no. 30, p. 10355 . doi: 10.2298/FIL2330355P
@article{10_2298_FIL2330355P,
     author = {Liviu Popescu and Esmaeil Peyghan and Ramona Dimitrov and Gabriel Tica},
     title = {Study on distributional systems with economic applications},
     journal = {Filomat},
     pages = {10355 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330355P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330355P/}
}
TY  - JOUR
AU  - Liviu Popescu
AU  - Esmaeil Peyghan
AU  - Ramona Dimitrov
AU  - Gabriel Tica
TI  - Study on distributional systems with economic applications
JO  - Filomat
PY  - 2023
SP  - 10355 
VL  - 37
IS  - 30
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2330355P/
DO  - 10.2298/FIL2330355P
LA  - en
ID  - 10_2298_FIL2330355P
ER  - 
%0 Journal Article
%A Liviu Popescu
%A Esmaeil Peyghan
%A Ramona Dimitrov
%A Gabriel Tica
%T Study on distributional systems with economic applications
%J Filomat
%D 2023
%P 10355 
%V 37
%N 30
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2330355P/
%R 10.2298/FIL2330355P
%G en
%F 10_2298_FIL2330355P

Cité par Sources :