Title :
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
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;
Conference_Titel :
Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-8432-4
DOI :
10.1109/AICI.2010.285
