Geodesic
Global output feedback stabilization for nonlinear fractional order time delay systems
Kybernetika, Tome 57 (2021) no. 5, pp. 785-800.

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

This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropriate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreactor example, are given to illustrate that the proposed design procedures are very efficient and simple.
DOI : 10.14736/kyb-2021-5-0785
Classification : 93C10, 93D15, 93D20
Keywords: Riemann–Liouville fractional; nonlinear time delay system; observer design; asymptotical stability; Lyapunov functional 
@article{10_14736_kyb_2021_5_0785,
     author = {Benali, Hanen},
     title = {Global output feedback stabilization for nonlinear fractional order time delay systems},
     journal = {Kybernetika},
     pages = {785--800},
     publisher = {mathdoc},
     volume = {57},
     number = {5},
     year = {2021},
     doi = {10.14736/kyb-2021-5-0785},
     mrnumber = {4363237},
     zbl = {07478640},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0785/}
}
TY  - JOUR
AU  - Benali, Hanen
TI  - Global output feedback stabilization for nonlinear fractional order time delay systems
JO  - Kybernetika
PY  - 2021
SP  - 785
EP  - 800
VL  - 57
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0785/
DO  - 10.14736/kyb-2021-5-0785
LA  - en
ID  - 10_14736_kyb_2021_5_0785
ER  - 
%0 Journal Article
%A Benali, Hanen
%T Global output feedback stabilization for nonlinear fractional order time delay systems
%J Kybernetika
%D 2021
%P 785-800
%V 57
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0785/
%R 10.14736/kyb-2021-5-0785
%G en
%F 10_14736_kyb_2021_5_0785
Benali, Hanen. Global output feedback stabilization for nonlinear fractional order time delay systems. Kybernetika, Tome 57 (2021) no. 5, pp. 785-800. doi : 10.14736/kyb-2021-5-0785. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0785/

Cité par Sources :