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.

引用

页码：687 / 696

页数：10