A numerical estimation of the fractional-order Liouvillian systems and its application to secure communications

被引：8
|
作者：
Montesinos-Garcia, Juan J. [1 ]
Martinez-Guerra, Rafael [1 ]
机构：
[1] IPN, CINVESTAV, Dept Control Automat, Ave IPN 2508, Mexico City 07360, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 04期
关键词：
Fractional derivative estimation; fractional synchronisation; fractional liouvillian systems; fractional sliding modes observer; secure communications; OBSERVER-BASED STABILIZATION; SLIDING-MODE CONTROLLER; CHAOTIC SYSTEMS; SYNCHRONIZATION; DESIGN;
D O I：
10.1080/00207721.2019.1572810
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 introduces a method for the numerical estimation of the fractional derivative of a signal, a smoothed sliding modes state observer is used to make the estimation. As application for the estimator a color image encryption algorithm is given, the algorithm is based on the synchronisation of fractional chaotic Liouvillian systems and its main characteristics are the capability to keep data safe from the most common types of cryptanalysis and handling large colour images while producing no data loss.
引用
收藏
页码：791 / 806
页数：16
相关论文
共 50 条
  • [31] On active synchronization of fractional-order Bloch chaotic system and its practical application in secure image transmission
    Tirandaz, Hamed
    Karami-Mollaee, Ali
    INTERNATIONAL JOURNAL OF INTELLIGENT COMPUTING AND CYBERNETICS, 2018, 11 (02) : 181 - 196
  • [32] Real-Time Synchronisation of Multiple Fractional-Order Chaotic Systems: An Application Study in Secure Communication
    Nail, Bachir
    Atoussi, Mahedi Abdelghani
    Saadi, Slami
    Tibermacine, Imad Eddine
    Napoli, Christian
    FRACTAL AND FRACTIONAL, 2024, 8 (02)
  • [33] Fractional exponential stability of nonlinear conformable fractional-order delayed systems with delayed impulses and its application
    Luo, Lingao
    Li, Lulu
    Cao, Jinde
    Abdel-Aty, Mahmoud
    JOURNAL OF THE FRANKLIN INSTITUTE, 2025, 362 (01)
  • [34] Numerical simulation of fractional-order dynamical systems in noisy environments
    Mostaghim, Zeinab Salamat
    Moghaddam, Behrouz Parsa
    Haghgozar, Hossein Samimi
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05): : 6433 - 6447
  • [35] Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with Caputo Fractional Derivative
    Dai, Dandan
    Li, Xiaoyu
    Li, Zhiyuan
    Zhang, Wei
    Wang, Yulan
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2023, 135 (02): : 1371 - 1392
  • [36] Numerical simulation of fractional-order dynamical systems in noisy environments
    Zeinab Salamat Mostaghim
    Behrouz Parsa Moghaddam
    Hossein Samimi Haghgozar
    Computational and Applied Mathematics, 2018, 37 : 6433 - 6447
  • [37] Numerical simulation algorithm for fractional-order systems implemented in CUDA
    Rosu, Florin
    Bonchis, Cosmin
    Kaslik, Eva
    2020 22ND INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2020), 2020, : 63 - 66
  • [38] A numerical investigation for robust stability of fractional-order uncertain systems
    Senol, Bilal
    Ates, Abdullah
    Alagoz, B. Baykant
    Yeroglu, Celaleddin
    ISA TRANSACTIONS, 2014, 53 (02) : 189 - 198
  • [39] Synchronization of Two Four-wing Fractional-Order Chaotic Systems and Its Applications in Secure Communication
    Jia, Hongyan
    Wang, Qinghe
    Proceedings of the 2016 6th International Conference on Advanced Design and Manufacturing Engineering (ICADME 2016), 2016, 96 : 619 - 624
  • [40] FRACTIONAL-ORDER ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR SYSTEMS
    Li, Yan
    Chen, YangQuan
    Ahn, Hyo-Sung
    ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 54 - 63
12345