Estimating the Globally Exponentially Attractive Set and Positively Invariant Set for the Qi Chaotic System and Its Applications to Chaos Synchronization
The globally exponentially attractive set and syn chronization problem of the Qi chaotic system was researched. Firstly, based on the definition of globally exponentially attractive set and constructing a generalized positive definite Lyapunov functions with radially unbound respect with to the parameters of the system, and employing the continuous extension principle, a new cylinder estimation of the globally exponentially attractive set and positive invariant set of the Qi chaotic system was given without existence assumptions. Secondly, linear feedback approach was used to realize the globally exponential synchronization of two chaotic systems and a sufficient algebraic criterion for the globally exponential synchronization of two chaotic systems is obtained analytically. Finally, simulations are conducted to prove synchronous validity and these figures of synchronous errors are given. The numerical simulation results indicated the effectiveness of the proposed methods.
chaos globally exponentially attractive set positive invariant set generalized Lyapunov function linear feedback control
Jigui Jian Zhengwen Tu Yanjun Shen
Institute of Nonlinear and Complex Systems China Three Gorges University Yichang, 443002, China
国际会议
长沙
英文
1274-1277
2010-03-13（万方平台首次上网日期，不代表论文的发表时间）