Adaptive Synchronization of Lorenz System and Third-order CNN with Uncertain Parameters

Author

Yi, Xinlei ; Zhang, Longmei ; Sun, Naizhen ; Liu, Anping

Author_Institution

Sch. of Math. & Phys., China Univ. of Geosci., Wuhan, China

Volume

3

fYear

2010

fDate

23-24 Oct. 2010

Firstpage

227

Lastpage

231

Abstract

This work presents chaos synchronization between the uncertain chaotic Lorenz system and the certain chaotic third-order Cellular Neural Networks (CNN) via adaptive control. Based on Lyapunov stability theory, an adaptive controller and parameters estimation update laws for unknown parameters are given such that the two different chaotic systems are to be synchronized globally and asymptotically. Theoretical analysis and numerical simulations are shown to verify the results.

Keywords

Lyapunov methods; adaptive control; cellular neural nets; nonlinear systems; parameter estimation; stability; synchronisation; uncertain systems; Lyapunov stability theory; adaptive control; adaptive synchronization; certain chaotic third-order cellular neural networks; parameters estimation update laws; uncertain chaotic Lorenz system; uncertain parameters; Adaptive control; Aerospace electronics; Chaotic communication; Parameter estimation; Synchronization; Adaptive control; Chaos synchronization; Lorenz system; chaotic; chaotic third-order CNN;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-8432-4

Type

conf

DOI

10.1109/AICI.2010.285

Filename

5654781