Geodesic
Global output feedback stabilization for nonlinear fractional order time delay systems
Kybernetika, Tome 57 (2021) no. 5, pp. 785-800 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     author = {Benali, Hanen},
     title = {Global output feedback stabilization for nonlinear fractional order time delay systems},
     journal = {Kybernetika},
     pages = {785--800},
     year = {2021},
     volume = {57},
     number = {5},
     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/}
}
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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

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