Robust synchronization with uniform ultimate bound between two different chaotic systems with uncertainties

• DOI: 10.48550/arxiv.0908.3221
• Publication Date: 2009-01-01
• Authors: Jianping Cai; Zhengzhong Yuan
• Keywords: Robustness; Chen; Chaotic systems; Lyapunov stability; Lorenz system

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied prove that under some conditions the drive-response can achieve synchronization uniform ultimate bound even though bounds of uncertainties not known exactly in advance. The contain only feedback terms partial nonlinear systems, they easy implement practice. Lorenz system Chen chosen as illustrative example verify validity proposed method. Simulation results also show present control has good robustness against kinds disturbances.