Geodesic
Practical $h$-stability behavior of time-varying nonlinear systems
Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 2, pp. 209-226.

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

We deal with the problem of practical uniform $h$-stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform $h$-stability of the solutions based on Gronwall's type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.
DOI : 10.14712/1213-7243.2023.021
Classification : 34A30, 34A34, 34D10
Keywords: Gronwall's inequality; perturbed system; practical $h$-stability 
@article{10_14712_1213_7243_2023_021,
     author = {Kicha, Abir and Damak, Hanen and Hammami, Mohamed Ali},
     title = {Practical $h$-stability behavior  of time-varying nonlinear systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {209--226},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {2023},
     doi = {10.14712/1213-7243.2023.021},
     mrnumber = {4659000},
     zbl = {07790592},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.021/}
}
TY  - JOUR
AU  - Kicha, Abir
AU  - Damak, Hanen
AU  - Hammami, Mohamed Ali
TI  - Practical $h$-stability behavior  of time-varying nonlinear systems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2023
SP  - 209
EP  - 226
VL  - 64
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.021/
DO  - 10.14712/1213-7243.2023.021
LA  - en
ID  - 10_14712_1213_7243_2023_021
ER  - 
%0 Journal Article
%A Kicha, Abir
%A Damak, Hanen
%A Hammami, Mohamed Ali
%T Practical $h$-stability behavior  of time-varying nonlinear systems
%J Commentationes Mathematicae Universitatis Carolinae
%D 2023
%P 209-226
%V 64
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.021/
%R 10.14712/1213-7243.2023.021
%G en
%F 10_14712_1213_7243_2023_021
Kicha, Abir; Damak, Hanen; Hammami, Mohamed Ali. Practical $h$-stability behavior  of time-varying nonlinear systems. Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 2, pp. 209-226. doi : 10.14712/1213-7243.2023.021. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.021/

Cité par Sources :