The variational problem of fractional-order control systems

被引：0
|
作者：
Biao Liu
Yanhua Wen
Xian-feng Zhou
机构：
[1] Anhui University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2015卷
关键词：
variational problem; necessary condition; fractional-order control systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article discusses the control system of fractional endpoint variable variational problems. For this problem, we prove the Euler-Lagrange type necessary conditions which must be satisfied for the given functional to be extremum. Finally, one example is provided to show the application of our results.
引用
收藏
相关论文
共 50 条
  • [41] Fractional-order Variational Regularization for Image Decomposition
    Jiang, Lingling
    Yin, Haiqing
    2014 19TH INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP), 2014, : 24 - 29
  • [42] Suppressing chaos for a class of fractional-order chaotic systems by adaptive integer-order and fractional-order feedback control
    Li, Ruihong
    Li, Wei
    OPTIK, 2015, 126 (21): : 2965 - 2973
  • [43] Implementation of Fractional Fuzzy PID Controllers for Control of Fractional-Order systems
    Varshney, Pragya
    Gupta, Sujit Kumar
    2014 INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTING, COMMUNICATIONS AND INFORMATICS (ICACCI), 2014, : 1322 - 1328
  • [44] DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS
    N'Doye, Ibrahima
    Darouach, Mohamed
    Voos, Holger
    Zasadzinski, Michel
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) : 491 - 500
  • [45] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [46] Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
    Wang, Chenhui
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [47] CONSENSUS CONTROL OF FRACTIONAL-ORDER SYSTEMS BASED ON DELAYED STATE FRACTIONAL ORDER DERIVATIVE
    Liu, Xueliang
    Zhang, Zhi
    Liu, Huazhu
    ASIAN JOURNAL OF CONTROL, 2017, 19 (06) : 2199 - 2210
  • [48] Stabilization of fractional-order unstable delay systems by fractional-order controllers
    Kheirizad, Iraj
    Jalali, Ali Akbar
    Khandani, Khosro
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I9) : 1166 - 1173
  • [49] Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system
    Yuhong Tang
    Min Xiao
    Guoping Jiang
    Jinxing Lin
    Jinde Cao
    Wei Xing Zheng
    Nonlinear Dynamics, 2017, 90 : 2185 - 2198
  • [50] Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system
    Tang, Yuhong
    Xiao, Min
    Jiang, Guoping
    Lin, Jinxing
    Cao, Jinde
    Zheng, Wei Xing
    NONLINEAR DYNAMICS, 2017, 90 (03) : 2185 - 2198
12345