Adaptive synchronization of chaotic systems and its application to secure communications
type: Item
instance of: scholarly article
title: Adaptive synchronization of chaotic systems and its application to secure communications
zbMATH Open document ID: 0967.93059
DOI: 10.1016/S0960-0779(99)00051-X
author: Teh-Lu Liao
author: Shin-Hwa Tsai
published in: Chaos, Solitons and Fractals
publication date: 2001-03-26T00:00:00Z
review text: The aim of this paper is to derive an adaptive observer-based driven system via a scalar transmitted signal which can attain not only chaos synchronization but can also be applied to secure communication of chaotic systems in the presence of the system's disturbances and unknown parameters. Section 2 presents the class of chaotic systems considered and formulates the problem. Section 3 develops an adaptive observer-based driven system to synchronize the driving system with disturbances and unknown parameters. By appropriately selecting the observer gain vector such that the strictly positive real condition is satisfied, the synchronization and stability of the overall system are guaranteed by the Lyapunov stability theory with certain structural conditions. In Section 4, two well-known chaotic systems, Rösler-like and Chua's circuit, are considered as illustrative examples to demonstrate the effectiveness of the proposed scheme. Moreover, in Section 5, the considered scheme is applied to a secure communication system whose process consists of two phases: the adaptive phase in which the chaotic transmitter's disturbances are estimated, and the communication phase in which the information signal is transmitted and then recovered on the basis of the estimated parameters. Promising simulation results illustrate the proposed scheme in the communication application.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 94A05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1492267
zbMATH Keywords: adaptive observer-based driven system
zbMATH Keywords: chaos synchronization
zbMATH Keywords: secure communication of chaotic systems
zbMATH Keywords: disturbances
zbMATH Keywords: Lyapunov stability theory
MaRDI profile type: Publication
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full work available at URL: s0960-0779(99)00051-x
OpenAlex ID: W2050378105
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description: scientific article; zbMATH DE number 1492267