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

Author

Benzaouia, A. ; Hmamed, A. ; Mesquine, F. ; Benhayoun, M. ; Tadeo, Fernando

Author_Institution

Fac. of Sci. Semlalia, Univ. Cadi Ayyad, Marrakech, Morocco

Volume

59

Issue

8

fYear

2014

fDate

Aug. 2014

Firstpage

2203

Lastpage

2208

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.

Keywords

Lyapunov methods; continuous time systems; control system synthesis; linear programming; stability; state feedback; asymmetric bounded control; continuous-time fractional positive systems; direct Lyapunov function; linear programs; stabilization problem; state-feedback controller synthesis; Asymptotic stability; Closed loop systems; Linear systems; Lyapunov methods; State feedback; Trajectory; Vectors; Asymmetric bounded controls; Fractional systems; asymmetric bounded controls; fractional systems; linear programming; positive systems; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2303231

Filename

6727396