Geodesic
Generalized integral inequality and application on partial stability analysis
Filomat, Tome 37 (2023) no. 27, p. 9339

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

DOI

The method of Lyapunov is one of the most effective methods for the analysis of the partial stability of dynamical systems. Different authors develop the problem of partial practical stability based on Lyapunov techniques. In this paper, we investigate the partial practical stability of linear time–invariant perturbed systems based on the integral inequalities of the Gronwall type, in particular of Gamidov's type. We derive some sufficient conditions that guarantee global practical uniform exponential stability with respect to a part of the variables of linear time–invariant perturbed systems. Also, we have developed the local partial practical stability of nonlinear systems. Further, we provide two examples to support our findings.
DOI : 10.2298/FIL2327339E
Classification : 93E03, 60H10
Keywords: linear time–invariant systems, integral inequalities, Gamidov inequalities, nontrivial solution, practical stability 
Faten Ezzine; Walid Hdidi; Sever Dragomir. Generalized integral inequality and application on partial stability analysis. Filomat, Tome 37 (2023) no. 27, p. 9339 . doi: 10.2298/FIL2327339E
@article{10_2298_FIL2327339E,
     author = {Faten Ezzine and Walid Hdidi and Sever Dragomir},
     title = {Generalized integral inequality and application on partial stability analysis},
     journal = {Filomat},
     pages = {9339 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327339E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327339E/}
}
TY  - JOUR
AU  - Faten Ezzine
AU  - Walid Hdidi
AU  - Sever Dragomir
TI  - Generalized integral inequality and application on partial stability analysis
JO  - Filomat
PY  - 2023
SP  - 9339 
VL  - 37
IS  - 27
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2327339E/
DO  - 10.2298/FIL2327339E
LA  - en
ID  - 10_2298_FIL2327339E
ER  - 
%0 Journal Article
%A Faten Ezzine
%A Walid Hdidi
%A Sever Dragomir
%T Generalized integral inequality and application on partial stability analysis
%J Filomat
%D 2023
%P 9339 
%V 37
%N 27
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2327339E/
%R 10.2298/FIL2327339E
%G en
%F 10_2298_FIL2327339E

Cité par Sources :