Time-optimal control of fractional-order linear systems

被引：0
|
作者：
Ivan Matychyn
Viktoriia Onyshchenko
机构：
[1] Institute of Mathematics pl. Weyssenhoffa 11,Kazimierz Wielki University in Bydgoszcz
[2] pok. 107,undefined
[3] State University of Telecommunications Solomyanska Str. 7,undefined
来源：
Fractional Calculus and Applied Analysis | 2015年 / 18卷
关键词：
Primary 34A08; Secondary 49N05, 33E12; fractional calculus; Mittag-Leffler type functions; fractional differential equations; time-optimal control; Pontryagin’s maximum principle;
D O I：
暂无
中图分类号：
学科分类号：
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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收藏
页码：687 / 696
页数：9
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