Abstract
In the paper minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional 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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References
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Acknowledgements
This work was supported by the Ministry of Science and High Education of Poland under grant NN 514 415834.
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Klamka, J. (2010). Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_45
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DOI: https://doi.org/10.1007/978-90-481-3293-5_45
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