Optimal Control of Linear Systems of Arbitrary Fractional Order

4 Pages Posted: 13 Nov 2018

See all articles by Ivan Matychyn

Ivan Matychyn

University of Warmia and Mazury

Viktoriia Onyshchenko

State University of Telecommunications

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

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

Ivan Matychyn (Contact Author)

University of Warmia and Mazury ( email )

ul. Oczapowskiego 2
Warszawska 98
Olsztyn, 10-719
Poland

Viktoriia Onyshchenko

State University of Telecommunications ( email )

Kyiv
Ukraine

Do you have negative results from your research you’d like to share?

Paper statistics

Downloads
69
Abstract Views
411
Rank
598,765
PlumX Metrics