Application of incomplete γ functions to the initialization of fractional-order systems

被引：0
|
作者：
Hartley, Tom T. [1 ]
Lorenzo, Carl F. [1 ]
机构：
[1] Univ Akron, Akron, OH 44325 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE 2007, VOL 5, PTS A-C, | 2008年
关键词：
gamma function; fractional-order system initialization;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper reviews some properties of the gamma function, particularly the incomplete gamma function and its complement, as a function of the Laplace variables. The utility of these functions in the solution of initialization problems in fractional-order system theory is demonstrated.
引用
收藏
页码：1431 / 1437
页数：7
相关论文
共 50 条
  • [21] FRACTIONAL-ORDER ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR SYSTEMS
    Li, Yan
    Chen, YangQuan
    Ahn, Hyo-Sung
    [J]. ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 54 - 63
  • [22] DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS
    N'Doye, Ibrahima
    Darouach, Mohamed
    Voos, Holger
    Zasadzinski, Michel
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) : 491 - 500
  • [23] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [24] Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
    Wang, Chenhui
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [25] Stabilization of fractional-order unstable delay systems by fractional-order controllers
    Kheirizad, Iraj
    Jalali, Ali Akbar
    Khandani, Khosro
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I9) : 1166 - 1173
  • [26] Application of Fractional-Order Controller
    Gertner, Magdalena
    [J]. NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 195 - 203
  • [27] Fractional-Order Circuits and Systems
    Elwakil, Ahmed
    Maundy, Brent
    Fortuna, Luigi
    Chen, Guanrong
    [J]. IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS, 2013, 3 (03) : 297 - 300
  • [28] Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations
    Bhrawy, A. H.
    Zaky, M. A.
    [J]. APPLIED MATHEMATICAL MODELLING, 2016, 40 (02) : 832 - 845
  • [29] Fractional-Order Learning Systems
    Talebi, Sayed Pouria
    Werner, Stefan
    Mandic, Danilo P.
    [J]. 2022 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2022,
  • [30] Fractional-Order Memristive Systems
    Petras, Ivo
    Chen, YangQuan
    Coopmans, Calvin
    [J]. 2009 IEEE CONFERENCE ON EMERGING TECHNOLOGIES & FACTORY AUTOMATION (EFTA 2009), 2009,
12345