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
  • [1] A Robust State Estimation for Fractional-Order Liouvillian Systems: with Application to Secure Communications
    Delfin-Prieto, Sergio M.
    Martinez-Guerra, Rafael
    Trejo-Zuniga, Ivan
    Montesinos-Garcia, Juan J.
    IFAC PAPERSONLINE, 2018, 51 (33): : 97 - 102
  • [2] Robust State-Estimation for Fractional-Order Liouvillian Systems
    Delfin-Prieto, Sergio M.
    Martinez-Guerra, Rafael
    Trejo-Zuniga, Ivan
    2018 15TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATIC CONTROL (CCE), 2018,
  • [3] Synchronization of Hidden Hyperchaotic Attractors in Fractional-Order Complex-Valued Systems with Application to Secure Communications
    Shoreh, Ahmed A. H.
    Kuznetsov, Nikolay, V
    Mokaev, Timur N.
    Tavazoei, Mohammad S.
    PROCEEDINGS OF THE 2021 IEEE CONFERENCE OF RUSSIAN YOUNG RESEARCHERS IN ELECTRICAL AND ELECTRONIC ENGINEERING (ELCONRUS), 2021, : 62 - 67
  • [4] An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional-Order Nonlinear Systems
    Wu, Xiang-Jun
    Liu, Bao-Qiang
    3RD INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND MECHANICAL AUTOMATION (CSMA 2017), 2017, : 109 - 117
  • [5] Synchronisation of fractional-order complex systems and its application
    Mohadeszadeh, Milad
    Karimpour, Ali
    Pariz, Naser
    PRAMANA-JOURNAL OF PHYSICS, 2019, 92 (02):
  • [6] Synchronisation of fractional-order complex systems and its application
    Milad Mohadeszadeh
    Ali Karimpour
    Naser Pariz
    Pramana, 2019, 92
  • [7] Fractional-Order Adaptive Fault Estimation for a Class of Nonlinear Fractional-Order Systems
    N'Doye, Ibrahima
    Laleg-Kirati, Taous-Meriem
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 3804 - 3809
  • [8] The Lepschy stability test and its application to fractional-order systems
    Casagrande, Daniele
    Krajewski, Wieslaw
    Viaro, Umberto
    ARCHIVES OF CONTROL SCIENCES, 2021, 31 (01) : 145 - 163
  • [9] A New Matrix Projective Synchronization of Fractional-Order Discrete-Time Systems and its Application in Secure Communication
    Yan, Wenhao
    Ding, Qun
    IEEE ACCESS, 2020, 8 : 147451 - 147458
  • [10] A new synchronisation method of fractional-order chaotic systems with distinct orders and dimensions and its application in secure communication
    Vafaei, V.
    Akbarfam, A. Jodayree
    Kheiri, H.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (16) : 3437 - 3450
12345