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Number 3 - September 2021
Volume 31 - 2021
Time-optimal control of linear fractional systems with variable coefficients
Ivan Matychyn, Viktoriia Onyshchenko
Abstract
Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–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.
Keywords
fractional calculus, Riemann–Liouville derivative, variable coefficients, optimal control