<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.</p></abstract>

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.

Minimum energy control of fractional descriptor positive discrete-time linear systems

Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The...

Minimum energy control of fractional descriptor positive discrete-time linear systems

Published Online: Dec 20, 2014

Page range: 735 - 743

Received: Nov 21, 2013

DOI: https://doi.org/10.2478/amcs-2014-0054

© by Tadeusz Kaczorek

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.