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] Robust decentralized control of perturbed fractional-order linear interconnected systems
    Li, Jun
    Lu, Jun-Guo
    Chen, Yangquan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) : 844 - 859
  • [32] Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)
    周平
    程元明
    邝菲
    Chinese Physics B, 2010, (09) : 237 - 242
  • [33] Exponential Stability of Fractional-Order Switched Systems With Mode-Dependent Impulses and Its Application
    Zhan, Tao
    Ma, Shuping
    Li, Wentao
    Pedrycz, Witold
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (11) : 11516 - 11525
  • [34] An exponential jerk system, its fractional-order form with dynamical analysis and engineering application
    Rajagopal, Karthikeyan
    Akgul, Akif
    Jafari, Sajad
    Karthikeyan, Anitha
    Cavusoglu, Unal
    Kacar, Sezgin
    SOFT COMPUTING, 2020, 24 (10) : 7469 - 7479
  • [35] Constrained Control of Semilinear Fractional-Order Systems: Application in Drug Delivery Systems
    Yaghooti, Bahram
    Hosseinzadeh, Mehdi
    Sinopoli, Bruno
    2020 IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (CCTA), 2020, : 833 - 838
  • [36] Event-based delayed impulsive control for fractional-order dynamic systems with application to synchronization of fractional-order neural networks
    Zheng, Bibo
    Wang, Zhanshan
    NEURAL COMPUTING & APPLICATIONS, 2023, 35 (27) : 20241 - 20251
  • [37] Synchronization of fractional-order chaotic systems based on the fractional-order sliding mode controller
    Yan Xiaomei
    Shang Ting
    Zhao Xiaoguo
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 429 - 434
  • [38] Event-based delayed impulsive control for fractional-order dynamic systems with application to synchronization of fractional-order neural networks
    Bibo Zheng
    Zhanshan Wang
    Neural Computing and Applications, 2023, 35 : 20241 - 20251
  • [39] Fractional-Order Echo State Network Backstepping Control of Fractional-Order Nonlinear Systems
    Liu, Heng
    Shi, Jiangteng
    Cao, Jinde
    Pan, Yongping
    IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE, 2024, 8 (01): : 519 - 532
  • [40] Stabilization of Unstable Fixed Points of Fractional-Order Systems by Fractional-Order Linear Controllers and Its Applications in Suppression of Chaotic Oscillations
    Tavazoei, Mohammad Saleh
    Haeri, Mohammad
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (02): : 1 - 7
12345