@misc{Matychyn_Ivan_Time-optimal, author={Matychyn, Ivan and Onyshchenko, Viktoriia}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Reimann-Liouville and Caputo derivatives are examined in the paper. For these systems, a solution of the initial-value problem is derived in terms of the generalized Peano-Baker series and a time-optimal control problem is formulated. The optimal control problem is treated from the convex-analytical viewpoint. Necessary and sufficient conditions for time-optimal control similar to that of Pontryagin`s maximum principle are obtained. Theoretical results are supported by examples.}, type={artykuł}, title={Time-optimal control of linear fractional systems with variable coefficients}, keywords={fractional calculus, Riemann-Liouville derivative, variable coefficients, optimal control}, }