Adaptive feedback synchronization of Lu system

This letter further improves and extends the works of Chen and Lu [Chaos, Solitons & Fractals 14 (2002) 643] and Wang et al. [Phys. Lett. A 312 (2003) 34]. In detail, the linear feedback synchronization and adaptive feedback synchronization for Lu system are discussed. And the lower bound of the feedback gain in linear feedback synchronization is presented. The adaptive feedback synchronization with only one controller is designed, which improves the proof in the work by Wang et al. The adaptive synchronization with two controllers for completely uncertain Lu system is also discussed, which extends the work of Chen and Lu Also, numerical simulations show the effectiveness of these methods. (C) 2004 Elsevier Ltd. All rights reserved.