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Positivity and stabilization of fractional discrete-time systems with delays

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1 Author(s)
Kaczorek, T. ; Fac. of Electr. Eng., Bialystok Tech. Univ., Bialystok, Poland

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.

Published in:

Control and Automation, 2009. ICCA 2009. IEEE International Conference on

Date of Conference:

9-11 Dec. 2009