TIME-OPTIMAL CONTROL OF FRACTIONAL-ORDER LINEAR SYSTEMS

被引：16
|
作者：
Matychyn, Ivan [1 ]
Onyshchenko, Viktoriia [2 ]
机构：
[1] Kazimierz Wielki Univ Bydgoszcz, Inst Math, PL-85072 Bydgoszcz, Poland
[2] State Univ Telecommun, UA-03680 Kiev, Ukraine
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 03期
关键词：
fractional calculus; Mittag-Leffler type functions; fractional differential equations; time-optimal control; Pontryagin's maximum principle; DYNAMICS;
D O I：
10.1515/fca-2015-0042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann-Liouville derivatives is considered. A method to construct a control function that brings trajectory of the system to the terminal state in the shortest time is proposed in terms of attainability sets and their support functions.
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页码：687 / 696
页数：10
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