Application of impulsive synchronization to communication security

Abstract

Abstract-In this paper, criteria on uniform equi-boundedness and equi-Lagrange stability for impulsive systems are derived. These criteria are used to synchronize two nonidentical chaotic systems by impulsively controlling a nonautonomous second order system, which leads to the development of an induced-message scheme for communication system security. With the scheme, message signals are not transmitted across public channels, but induced at the receiver end. The scheme overcomes the transmission time-frame congestion in impulsive cryptosystems discussed in the literature and improves system security. Simulation results are given to demonstrate the performance of the proposed scheme.

Multi-Scroll Chaotic and Hyperchaotic Attractors Generated From Chen System

“…Over the past two decades, the generation of chaotic or hyperchaotic systems and their applications have attracted a great deal of attention [Ballinger & Liu, 1997;Chen & Ueta, 1999;Cuomo & Oppenheim, 1993;Khadra et al, 2003;Kocarev et al, 1992;Liu, 2006;Pecora & Carroll, 1990;Yang & Chua, 1996]. Especially, multi-scroll attractors and hyperchaos systems have been intensively studied [Goedgebuer et al, 1998;Grassi & Mascolo, 1999;Li & Chen, 2004;Li et al, 2005;Lu et al, 2004;Peng et al, 1996;Rossler, 1979;Yalcin, 2007;Yan & Yu, 2008].…”

Stability of a Class of Hybrid Impulsive and Switching Systems

“…Stability of system (5) has been extensively studied (e.g., (Bainov and Simeonov, 1989;Guan et al, 2000;Khadra et al, 2003;Lakshmikantham et al, 1999;Liu and Guan, 1996) and some references therein) .…”

Chaos Synchronization of a Class of Chaotic Systems via Linear State Error Feedback Control

“…A basic configuration for chaos synchronization is the master-slave pattern, where the slave chaotic system must track the master chaotic trajectory. A number of methods based on this configuration have been proposed [4][5][6][7][8][9][10][11][12][13][14], such as feedback approach [4,5,6], time-delay feedback approach [7,8,9], adaptive method [10,11], backstepping design technique [12,13], Impulse control method [14], sliding mode control method [15] and so on.…”