Optimal Control of Linear Systems of Arbitrary Fractional Order
4 Pages Posted: 13 Nov 2018
Date Written: July 1, 2018
Abstract
Optimal control problem for linear systems of arbitrary fractional order in the sense of Riemann–Liouville is treated in the paper. The technique of attainability sets and their support functions is used to obtain sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle. Theoretical results are supported by example.
Suggested Citation: Suggested Citation
Matychyn, Ivan and Onyshchenko, Viktoriia, Optimal Control of Linear Systems of Arbitrary Fractional Order (July 1, 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018, Available at SSRN: https://ssrn.com/abstract=3279717 or http://dx.doi.org/10.2139/ssrn.3279717
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