Impulsively synchronizing chaotic systems with delay and applications to secure communication

被引：125

作者：

Khadra, A ^{[1
]}

Liu, XZ

Shen, X

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

来源：

AUTOMATICA | 2005年 / 41卷 / 09期

关键词：

impulsive delay systems; equi-attractivity; impulsive synchronization; hyperchaos; communication security;

D O I：

10.1016/j.automatica.2005.04.012

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the presence of transmission delay and sampling delay in chaos-based secure communication systems by employing impulsive synchronization is studied. A time delayed impulsive differential system with delayed impulses, modeling the synchronization error between the driving and response schemes employed in such communication systems, is presented. The equi-attractivity property of the error dynamics is investigated and the sufficient conditions leading to this property are obtained. A set of upper bounds on the delay terms involved in the system are also obtained, and a numerical example is given. A communication security scheme employing hyperchaotic systems possessing continuous driving, impulsive driving and delay is proposed and simulation results are given to demonstrate the performance of the scheme. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1491 / 1502

页数：12

共 26 条

[1] SYNCHRONIZATION OF CHAOTIC ORBITS - THE EFFECT OF A FINITE-TIME STEP [J].

AMRITKAR, RE ;

GUPTE, N .

PHYSICAL REVIEW E, 1993, 47 (06) :3889-3895

[2]

Ballinger G, 1999, DYN CONTIN DISCRET I, V5, P579

[3]

Ballinger G., 2000, APPL ANAL, V74, P71, DOI [10.1080 /00036810008840804, DOI 10.1080/00036810008840804]

[4]

CUOMO KM, 1993, IEEE ICASSP, V3, P137

[5] A system theory approach for designing cryptosystems based on hyperchaos [J].

Grassi, G ;

Mascolo, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (09) :1135-1138

[6] Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal [J].

Grassi, G ;

Mascolo, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1011-1014

[7] Synchronizing hyperchaotic systems by observer design [J].

Grassi, G ;

Mascolo, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, 46 (04) :478-483

[8] Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations [J].

Guan, ZH ;

Chan, CW ;

Leung, AYT ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (08) :1011-1019

[9] SPREAD SPECTRUM COMMUNICATION THROUGH MODULATION OF CHAOS [J].

Halle, K. Sean ;

Wu, Chai Wah ;

Itoh, Makoto ;

Chua, Leon O. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (02) :469-477

[10] Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits [J].

Itoh, M ;

Yang, T ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1393-1424

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