Feedback Chaotic Synchronization with Disturbances

• 作者: Jing Zhao Mingjun Wang Wanbo Yu
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: LYAPUNOV Stability THEOREM FEEDBACK SYNCHRONIZATION Parameters PERTURBATION External Disturbances ROBUSTNESS
• 年，卷（期）: 2017,（1）
• 页码范围: 1-10
• 页数: 10页
• 分类号: O1

摘要

Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are bounded, the synchronization error can be ensured to approach to and stay within the pre-specified bound which can be arbitrarily small. Some typical chaotic systems with different types of nonlinearity, such as Lorenz system and the original Chua’s circuit, are used for detailed description. The simulation results show the feasibility of the method.