宁 娣.函数关系已知的混沌系统的广义外同步[J].中南民族大学学报自然科学版,2014,(4):117-121
函数关系已知的混沌系统的广义外同步
Generalized Outer Synchronization between ChaoticSystems with Predefined Functional Relations
  
DOI:
中文关键词: 广义外同步  Lorenz系统  Chen系统
英文关键词: generalized outer synchronization  Lorenz system  Chen system
基金项目:中南民族大学中央高校基本科研业务费专项资金资助项目(CQZ11010)
作者单位
宁 娣 中南民族大学 数学与统计学学院武汉430074 
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中文摘要:
      针对具有未知参数的两个不同混沌系统,在函数关系给定的情况下,对它们达到广义外同步进行了分析,并通过Barbalat's引理,给出了达到广义外同步的一个充分条件; 同时,也给出了达到广义外同步所满足的自适应控制器和参数自适应律,数值仿真进一步验证了理论的正确性和有效性.
英文摘要:
      In this paper,when the functional relations between two different chaotic systems with unknown parameters are predefined,some analyses are made for generalized outer synchronization between them. And a sufficient criterion of reaching generalized outer synchronization is derived based on Barbalat's lemma. Furthermore,adaptive controllers and parameter updating laws are given for their arriving at generalized outer synchronization. Numerical simulations are provided to verify the feasibility and effectiveness of the theoretical results.
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