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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Published in:IEEE transactions on automatic control Vol. 59; no. 8; pp. 2203 - 2208
Main Authors: Benzaouia, Abdellah, Hmamed, Abdelaziz, Mesquine, Fouad, Benhayoun, Mohamed, Tadeo, Fernando
Format: Journal Article
Language:English
Published: New York IEEE 01.08.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
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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Abstract 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.
AbstractList 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.
Author Hmamed, Abdelaziz
Benzaouia, Abdellah
Mesquine, Fouad
Benhayoun, Mohamed
Tadeo, Fernando
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  givenname: Fernando
  surname: Tadeo
  fullname: Tadeo, Fernando
  email: fernando@autom.uva.es
  organization: Dipt. Ing. de Sist. y Autom., Univ. de Valladolid, Valladolid, Spain
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stabilization
positive systems
Asymmetric bounded controls
fractional systems
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Snippet The stabilization problem for continuous-time fractional linear systems with the additional condition of non negativity of the states is solved. The obtained...
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SubjectTerms 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
Title Stabilization of Continuous-Time Fractional Positive Systems by Using a Lyapunov Function
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