On time-optimal control of fractional-order systems

被引：30
|
作者：
Matychyn, Ivan [1 ]
Onyshchenko, Viktoriia [2 ]
机构：
[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Olsztyn, Poland
[2] State Univ Telecommun, Kiev, Ukraine
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 339卷
关键词：
Fractional differential equation; Riemann-Liouville fractional derivative; Caputo fractional derivative; Fractional optimal control problem; NONLOCAL CONDITIONS; NUMERICAL SCHEME; LINEAR-SYSTEMS; EQUATIONS; FORMULATION;
D O I：
10.1016/j.cam.2017.10.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：245 / 257
页数：13
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