Geodesic
Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices
Filomat, Tome 37 (2023) no. 9, p. 2659

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

DOI

We study relative controllability of linear and nonlinear conformable delay differential systems with linear parts defined by permutable matrices. By using a notion of delay Grammian matrix, we give a sufficient and necessary condition to examine that a linear delay controlled systems is relatively controllable. Thereafter, we construct a suitable control function for nonlinear delay controlled system, which admits us to adopt the framework of fixed point methods to investigate the same issue. More precisely, we apply Krassnoselskii's fixed point theorem to derive a relative controllability result. Finally, two examples are presented to illustrate our theoretical results with the help of computing the desired control functions and inverse of delay Grammian matrix as well.
DOI : 10.2298/FIL2309659Z
Classification : 39B72, 93B05
Keywords: relative controllability, delay Grammian matrix, delay differential systems 
Airen Zhou; JinRong Wang. Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices. Filomat, Tome 37 (2023) no. 9, p. 2659 . doi: 10.2298/FIL2309659Z
@article{10_2298_FIL2309659Z,
     author = {Airen Zhou and JinRong Wang},
     title = {Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices},
     journal = {Filomat},
     pages = {2659 },
     year = {2023},
     volume = {37},
     number = {9},
     doi = {10.2298/FIL2309659Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309659Z/}
}
TY  - JOUR
AU  - Airen Zhou
AU  - JinRong Wang
TI  - Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices
JO  - Filomat
PY  - 2023
SP  - 2659 
VL  - 37
IS  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2309659Z/
DO  - 10.2298/FIL2309659Z
LA  - en
ID  - 10_2298_FIL2309659Z
ER  - 
%0 Journal Article
%A Airen Zhou
%A JinRong Wang
%T Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices
%J Filomat
%D 2023
%P 2659 
%V 37
%N 9
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2309659Z/
%R 10.2298/FIL2309659Z
%G en
%F 10_2298_FIL2309659Z

Cité par Sources :