New Results of Globally Exponentially Attractive Set and Synchronization Controlling of the Qi Chaotic System

详细信息    查看全文

• 作者：Jigui Jian ; Xiaolian Deng ; Zhengwen Tu
• 关键词：Chaos ; Globally exponentially attractive set ; Positive invariant set ; Generalized Lyapunov function ; Feedback control
• 刊名：Lecture Notes in Computer Science
• 出版年：2010
• 出版时间：2010
• 年：2010
• 卷：6063
• 期：1
• 页码：643-650
• 全文大小：485.8 KB

文摘

This paper treats the globally exponentially attractive set and synchronization problem of the Qi chaotic system. Firstly, based on the generalized Lyapunov function theory, a new ellipsoid estimation of the globally exponentially attractive set and positive invariant set of the Qi chaotic system was given without existence assumptions. Secondly, based on some inequalities techniques and matrix theory, nonlinear feedback control with two inputs was used to realize the globally exponentially synchronization of two chaotic systems. Some sufficient algebraic criteria for the globally exponential synchronization of two chaotic systems are obtained analytically. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.