Geodesic
Finite time stability and relative controllability of second order linear differential systems with pure delay
Applications of Mathematics, Tome 68 (2023) no. 3, pp. 305-327.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed matrix functions. We secondly give sufficient and necessary conditions to examine that a linear delay system is relatively controllable. Further, we apply the fixed-point theorem to derive a relatively controllable result for a semilinear system. Finally, some examples are presented to illustrate the validity of the main theorems.
DOI : 10.21136/AM.2022.0249-21
Classification : 34K05, 93C05
Keywords: finite time stability; relative controllability; second order; delayed matrix function 
@article{10_21136_AM_2022_0249_21,
     author = {Li, Mengmeng and Fe\v{c}kan, Michal and Wang, JinRong},
     title = {Finite time stability and relative controllability of second order linear differential systems with pure delay},
     journal = {Applications of Mathematics},
     pages = {305--327},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {2023},
     doi = {10.21136/AM.2022.0249-21},
     mrnumber = {4586124},
     zbl = {07729499},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0249-21/}
}
TY  - JOUR
AU  - Li, Mengmeng
AU  - Fečkan, Michal
AU  - Wang, JinRong
TI  - Finite time stability and relative controllability of second order linear differential systems with pure delay
JO  - Applications of Mathematics
PY  - 2023
SP  - 305
EP  - 327
VL  - 68
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0249-21/
DO  - 10.21136/AM.2022.0249-21
LA  - en
ID  - 10_21136_AM_2022_0249_21
ER  - 
%0 Journal Article
%A Li, Mengmeng
%A Fečkan, Michal
%A Wang, JinRong
%T Finite time stability and relative controllability of second order linear differential systems with pure delay
%J Applications of Mathematics
%D 2023
%P 305-327
%V 68
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0249-21/
%R 10.21136/AM.2022.0249-21
%G en
%F 10_21136_AM_2022_0249_21
Li, Mengmeng; Fečkan, Michal; Wang, JinRong. Finite time stability and relative controllability of second order linear differential systems with pure delay. Applications of Mathematics, Tome 68 (2023) no. 3, pp. 305-327. doi : 10.21136/AM.2022.0249-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0249-21/

Cité par Sources :