A Robust State Estimation for Fractional-Order Liouvillian Systems: with Application to Secure Communications

被引：0

作者：

Delfin-Prieto, Sergio M. ^{[1
]}

Martinez-Guerra, Rafael ^{[1
]}

Trejo-Zuniga, Ivan ^{[1
]}

Montesinos-Garcia, Juan J. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Av Inst Politecn Nacl 2508, Ciudad De Mexico 07360, Mexico

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 33期

关键词：

Fractional-order systems; Secure communication; Liouvillian systems; Chaotic oscillator; Differentiator; SYNCHRONIZATION; CONTROLLER;

D O I：

10.1016/j.ifacol.2018.12.100

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 article introduces a class of fractional order chaotic system which is capable of hiding bounded messages into the dynamic equation. We propose a definition for reconstructability for messages hidden in the fractional order differential equation of the oscillator system; such definition is based on the differential algebraic observability for Liouvillian fractional order systems. The methodology serves as a way to retrieve the message employing fractional order differentiators. This approach is applied to secure communications for fractional order chaotic systems. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：97 / 102

页数：6

共 23 条

[1] Stabilization of a class of fractional-order chaotic systems using a non-smooth control methodology (vol 89, pg 1357, 2017)
Aghababa, Mohammad Pourmahmood
[J]. NONLINEAR DYNAMICS, 2017, 90 (04) : 2989 - 2990
[2] A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems
Aghababa, Mohammad Pourmahmood
[J]. NONLINEAR DYNAMICS, 2013, 73 (1-2) : 679 - 688
[3] Lyapunov functions for fractional order systems
Aguila-Camacho, Norelys
Duarte-Mermoud, Manuel A.
Gallegos, Javier A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) : 2951 - 2957
[4] [Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[5] Fractional dynamical controllers for generalized multi-synchronization of commensurate fractional order Liouvillian chaotic systems
Cruz-Ancona, Christopher D.
Martinez-Guerra, Rafael
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 3054 - 3096
[6] Cuomo K. M., 1993, ICASSP-93. 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing (Cat. No.92CH3252-4), P137, DOI 10.1109/ICASSP.1993.319454
[7] SYNCHRONIZATION OF LORENZ-BASED CHAOTIC CIRCUITS WITH APPLICATIONS TO COMMUNICATIONS
CUOMO, KM
OPPENHEIM, AV
STROGATZ, SH
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10): : 626 - 633
[8] Existence of heteroclinic orbits in a novel three-order dynamical system
Hu Yu
Min Le-Quan
Zhen Ping
[J]. CHINESE PHYSICS B, 2013, 22 (11)
[9] An efficient construction of substitution box with fractional chaotic system
Khan, Majid
Shah, Tariq
[J]. SIGNAL IMAGE AND VIDEO PROCESSING, 2015, 9 (06) : 1335 - 1338
[10] Li S., 2007, ARXIV07105455

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