Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2303231
