作　　者： (李慧民）; (孙尚庆）;

机构地区： 合肥工业大学数学学院,安徽合肥230009

出　　处： 《合肥工业大学学报（自然科学版）》 2017年第8期1144-1148,共5页

摘　　要： 作为一个著名的混沌系统,Lü系统吸引集的精确估计具有重要的理论意义和实际应用。文章利用Lyapunov函数理论,给出了该系统的全局指数吸引集和正向不变集的估计。具体来说,就是将状态空间分成若干区域,在每一个区域上构造恰当的广义正定函数,结合经典技巧获得该估计;最后,通过仿真验证了估计的有效性。 As a famous chaotic system, accurate estimations for attractive set of Lti system has important theo-retical significance and practical applications. In this paper, an estimation on globally exponentially attractiveset and positive invariant set of Lii system is given by constructing several generalized positive Lyapunov func-tions. Specifically, the state space can be divided into several regions, and for each region an appropriate gen-eralized positive definite function is constructed and the estimate is obtained by combining with classical tech-nique. Finally, the validity of the estimates is shown through the simulation.

关 键 词： 混沌系统 广义 函数 全局指数吸引集 正向不变集