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Digital Library of the
European Council for Modelling and Simulation |
Title: |
Minimum Energy Control Problem Of Positive Fractional Discrete-Time
Systems |
Authors: |
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 |
DOI: |
http://dx.doi.org/10.7148/2008-0500 |
Abstract: |
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. |
Full
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