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

Kaczorek, Tadeusz

doi:10.2478/amcs-2014-0054

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.

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

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