On time-optimal control of fractional-order systems

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摘要

Fractional optimal control problem is treated from convex-analytical viewpoint. Sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle are obtained for fractional-order systems in the sense of Riemann–Liouville and Caputo. Theoretical results are supported by examples.

论文关键词:34A08,49N05,33E12,Fractional differential equation,Riemann–Liouville fractional derivative,Caputo fractional derivative,Fractional optimal control problem

论文评审过程:Received 23 February 2017, Revised 22 September 2017, Available online 19 October 2017, Version of Record 18 April 2018.

论文官网地址:https://doi.org/10.1016/j.cam.2017.10.016