Stabilization of Continuous-Time Fractional Positive Systems by Using a Lyapunov Function

The stabilization problem for continuous-time fractional linear systems with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions i...

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Vydáno v:IEEE transactions on automatic control Ročník 59; číslo 8; s. 2203 - 2208
Hlavní autoři: Benzaouia, Abdellah, Hmamed, Abdelaziz, Mesquine, Fouad, Benhayoun, Mohamed, Tadeo, Fernando
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.08.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
asymmetric bounded controls
Asymmetry
Asymptotic stability
Automatic control
Closed loop systems
Controllers
Fractional systems
linear programming
Linear systems
Lyapunov functions
Lyapunov methods
positive systems
Stabilization
State feedback
Synthesis
Trajectory
Vectors
linear programming
stabilization
positive systems
Asymmetric bounded controls
fractional systems
ISSN:0018-9286, 1558-2523
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Shrnutí:The stabilization problem for continuous-time fractional linear systems with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. The solution is also extended to stabilization by asymmetric bounded control. Illustrative examples are provided to show the usefulness of the results.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2303231