Optimal Control of Linear Systems of Arbitrary Fractional Order

被引：0
|
作者：
Ivan Matychyn
Viktoriia Onyshchenko
机构：
[1] University of Warmia and Mazury in Olsztyn,Faculty of Mathematics and Computer Science
[2] State University of Telecommunications,undefined
来源：
Fractional Calculus and Applied Analysis | 2019年 / 22卷
关键词：
Primary 26A33; Secondary 34A08; 49N05; fractional differential equations; linear optimal control problems; matrix Mittag-Leffler function; Pontryagin maximum principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Optimal control problem for linear systems of arbitrary fractional order in the sense of Riemann–Liouville is treated in the paper. The technique of attainability sets and their support functions is used to obtain sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle. Theoretical results are supported by example.
引用
收藏
页码：170 / 179
页数：9
相关论文
共 50 条
  • [1] OPTIMAL CONTROL OF LINEAR SYSTEMS OF ARBITRARY FRACTIONAL ORDER
    Matychyn, Ivan
    Onyshchenko, Viktoriia
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (01) : 170 - 179
  • [2] Optimal Control Problem for Linear Fractional-Order Systems
    Kubyshkin, Victor
    Postnov, Sergey
    [J]. 2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [3] TIME-OPTIMAL CONTROL OF FRACTIONAL-ORDER LINEAR SYSTEMS
    Matychyn, Ivan
    Onyshchenko, Viktoriia
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (03) : 687 - 696
  • [4] Time-optimal control of fractional-order linear systems
    Ivan Matychyn
    Viktoriia Onyshchenko
    [J]. Fractional Calculus and Applied Analysis, 2015, 18 : 687 - 696
  • [5] Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay
    Balochian, Saeed
    Rajaee, Nahid
    [J]. INTERNATIONAL JOURNAL OF SYSTEM DYNAMICS APPLICATIONS, 2018, 7 (03) : 72 - 93
  • [6] Infinite horizon optimal repetitive control of fractional-order linear systems
    Lan, Yong-Hong
    Liu, Xiao
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (08) : 2083 - 2091
  • [7] State Feedback H∞ Optimal Control for Linear Fractional-order Systems
    Jiao Zhuang
    Zhong Yisheng
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 1923 - 1927
  • [8] OPTIMAL CONTROL OF LINEAR SYSTEMS WITH FRACTIONAL DERIVATIVES
    Matychyn, Ivan
    Onyshchenko, Viktoriia
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (01) : 134 - 150
  • [9] Optimal control of linear systems with fractional derivatives
    Ivan Matychyn
    Viktoriia Onyshchenko
    [J]. Fractional Calculus and Applied Analysis, 2018, 21 : 134 - 150
  • [10] Optimal control problems with a fixed terminal time in linear fractional-order systems
    Gomoyunov, M., I
    [J]. ARCHIVES OF CONTROL SCIENCES, 2020, 30 (04) : 721 - 744
12345