Time-Optimal Problem for Systems with Fractional Dynamics

Ivan I. Matychyn; Victoriya V. Onyshchenko

doi:10.1615/JAutomatInfScien.v48.i8.40

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

Editor associados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

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Time-Optimal Problem for Systems with Fractional Dynamics

Volume 48, Edição 8, 2016, pp. 37-45

DOI: 10.1615/JAutomatInfScien.v48.i8.40

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Ivan I. Matychyn
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

Victoriya V. Onyshchenko
State University of Telecommunications, Kiev

RESUMO

Problem of optimal operation speed for linear systems with fractional derivatives in the Riemann–Liouville sense is under consideration. By means of the methods of convex analysis and theory of multivalued mappings we constructed optimal controls and obtained sufficient conditions of optimality. Theoretical results are shown in practice.

Palavras-chave: problem of optimal operation speed, linear systems with fractional derivatives, methods of convex analysis, theory of multivalued mappings, optimal controls, sufficient conditions of optimality, examples

CITADO POR

Matychyn Ivan, Onyshchenko Viktoriia, On time-optimal control of fractional-order systems, Journal of Computational and Applied Mathematics, 339, 2018. Crossref
Matychyn Ivan, Onyshchenko Viktoriia, Optimal Control of Linear Systems of Arbitrary Fractional Order, SSRN Electronic Journal , 2018. Crossref
Matychyn Ivan, Onyshchenko Viktoriia, Optimal Control of Linear Systems of Arbitrary Fractional Order, Fractional Calculus and Applied Analysis, 22, 1, 2019. Crossref
Matychyn Ivan, Onyshchenko Viktoriia, Optimal control of linear systems with fractional derivatives, Fractional Calculus and Applied Analysis, 21, 1, 2018. Crossref

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