Title :
Positivity and stabilization of fractional discrete-time systems with delays
Author :
Kaczorek, Tadeusz
Author_Institution :
Fac. of Electr. Eng., Bialystok Tech. Univ., Bialystok, Poland
Abstract :
The problem of finding a gain matrix of the state-feedback of fractional discrete-time linear system with delays such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. A procedure for computation of the gain matrix is given and illustrated by numerical example.
Keywords :
asymptotic stability; closed loop systems; delay systems; discrete time systems; linear systems; state feedback; asymptotic stability; closed-loop system; delays; fractional discrete-time system; gain matrix; linear system; positivity; stabilization; state feedback; Atmospheric modeling; Automatic control; Biological system modeling; Delay lines; Delay systems; Linear systems; Stability; Sufficient conditions; Thermal pollution; Water storage;
Conference_Titel :
Control and Automation, 2009. ICCA 2009. IEEE International Conference on
Conference_Location :
Christchurch
Print_ISBN :
978-1-4244-4706-0
Electronic_ISBN :
978-1-4244-4707-7
DOI :
10.1109/ICCA.2009.5410190
