1. bookVolume 31 (2021): Issue 3 (September 2021)
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05 Apr 2007
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access type Open Access

Time–Optimal Control of Linear Fractional Systems with Variable Coefficients

Published Online: 27 Sep 2021
Page range: 375 - 386
Received: 25 Nov 2020
Accepted: 26 Apr 2021
Journal Details
License
Format
Journal
First Published
05 Apr 2007
Publication timeframe
4 times per year
Languages
English
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

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