National economies in state-space of fractional-order financial system

被引:14
|
作者
Rahmani Fazli H. [1 ]
Hassani F. [2 ]
Ebadian A. [2 ]
Khajehnasiri A.A. [2 ]
机构
[1] Department of Economic, Faculty of Economic and Political, Shahid Beheshti university, Tehran
[2] Department of Mathematics, Payame Noor University, PO Box 19395-3697, Tehran
关键词
Block pulse function; Fractional calculus; National economies; Operational matrix; State-space; Triangular functions;
D O I
10.1007/s13370-015-0361-4
中图分类号
学科分类号
摘要
In this paper, we present a method for solving national economies in state space with fractional order, we use the triangular function operational matrix of the fractional order integration to solve the fractional-order national economies equation. The method is described and illustrated with numerical simulation. Numerical simulations are given to verify the effectiveness of the proposed method. © 2015, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:529 / 540
页数:11
相关论文
共 50 条
  • [1] State-space analysis of fractional-order respiratory system models
    Saatci, Esra
    Saatci, Ertugrul
    [J]. BIOMEDICAL SIGNAL PROCESSING AND CONTROL, 2020, 57
  • [2] State Delays Extraction in the Fractional-Order State-Space Model
    Ostalczyk, Piotr
    Bakala, Marcin
    Nowakowski, Jacek
    [J]. NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 204 - 216
  • [3] State-space analysis of linear fractional-order systems
    Laboratoire L2CSP, Université Mouloud Mammeri de Tizi Ouzou, BP 17, RP, 15000 Tizi-Ouzou, Algeria
    不详
    [J]. J. Eur. Syst. Autom., 2008, 6-8 (825-838): : 825 - 838
  • [4] Modeling of the national economies in state-space: A fractional calculus approach
    Skovranek, Tomas
    Podlubny, Igor
    Petras, Ivo
    [J]. ECONOMIC MODELLING, 2012, 29 (04) : 1322 - 1327
  • [5] Novel Fractional-Order Model Predictive Control: State-Space Approach
    Petras, Ivo
    [J]. IEEE ACCESS, 2021, 9 : 92769 - 92775
  • [6] FPGA Implementation of Non-Commensurate Fractional-Order State-Space Models
    Zhou, Xingwen
    Zhao, Dongdong
    Geng, Zongsheng
    Xu, Li
    Yan, Shi
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2023, 70 (09) : 3639 - 3652
  • [7] State-space self-tuning control for stochastic fractional-order chaotic systems
    Tsai, Jason Sheng-Hong
    Chien, Tseng-Hsu
    Guo, Shu-Mei
    Chang, Yu-Pin
    Shieh, Leang-San
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (03) : 632 - 642
  • [8] Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
    Takeshita, Akihiro
    Yamashita, Tomohiro
    Kawaguchi, Natsuki
    Kuroda, Masaharu
    [J]. APPLIED SCIENCES-BASEL, 2021, 11 (07):
  • [9] COMPUTING THE 3-C2-NORM OF A FRACTIONAL-ORDER SYSTEM USING THE STATE-SPACE LINEAR MODEL
    Lakeb, Aouda
    Kaisserli, Zineb
    Bouagada, Djillali
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (04): : 531 - 538
  • [10] State-space representation for fractional order controllers
    Raynaud, HF
    Zergaïnoh, A
    [J]. AUTOMATICA, 2000, 36 (07) : 1017 - 1021