Title:
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Global output feedback stabilization for nonlinear fractional order time delay systems (English) |
Author:
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Benali, Hanen |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 (print) |
ISSN:
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1805-949X (online) |
Volume:
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57 |
Issue:
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5 |
Year:
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2021 |
Pages:
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785-800 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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Riemann–Liouville fractional |
Keyword:
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nonlinear time delay system |
Keyword:
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observer design |
Keyword:
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asymptotical stability |
Keyword:
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Lyapunov functional |
MSC:
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93C10 |
MSC:
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93D15 |
MSC:
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93D20 |
idZBL:
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Zbl 07478640 |
idMR:
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MR4363237 |
DOI:
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10.14736/kyb-2021-5-0785 |
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Date available:
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2022-01-05T07:55:39Z |
Last updated:
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2022-02-24 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/149304 |
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Reference:
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