New results of globally exponentially attractive set of a class of chaotic system and their application

作者：Jian, Jigui^*; Tu, Zhengwen; Wang, Jianfeng

来源：Journal of Huazhong University of Science and Technology (Natural Science Edition), 2010, 38(6): 12-14+27.

• Chaos systems
• Generalized Lyapunov functions
• Globally exponential synchronization
• Globally exponentially attractive set
• Linear feedback control

The globally exponentially attractive set and synchronization problem of a new chaotic system was researched. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, by constructing a family of generalized positive definite Lyapunov functions with radially unbound with respect to the parameters of the system, some new estimations of the globally exponentially attractive set of the new chaotic system were obtained without any existence assumptions. Secondly, a sufficient algebraic criterion for the globally exponential synchronization of two chaotic systems is obtained analytically via linear feedback approach. The figure of synchronous errors is given and the numerical simulation results indicate the effectiveness of the proposed methods.

• 出版日期2010
• 单位三峡大学