Digital Library

of the European Council for Modelling and Simulation



Minimum Energy Control Problem Of Positive Fractional

Discrete-Time Systems


Tadeusz Kaczorek

Published in:


ECMS 2008 Proceedings

Edited by: Loucas S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain


ISBN: 978-0-9553018-6-5

Doi: 10.7148/2008


22nd European Conference on Modelling and Simulation,

Nicosia, June 3-6, 2008


Citation format:

Kaczorek, T. (2008). Minimum Energy Control Problem Of Positive Fractional Discrete-Time Systems. ECMS 2008 Proceedings edited by: L. S. Louca, Y. Chrysanthou, Z. Oplatkova, K. Al-Begain (pp. 500-505). European Council for Modeling and Simulation. doi:10.7148/2008-0500



The minimum energy control problem of positive fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the reachability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the positive fractional discrete-time systems are given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

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