Outer synchronization of uncertain small-world networks via adaptive sliding mode control

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• 作者：Shuang Liu (1)
  Liqun Chen (1) (2) (3)
  
  1. Shanghai Institute of Applied Mathematics and Mechanics ; Shanghai University ; Shanghai ; 200072 ; China
  2. Department of Mechanics ; Shanghai University ; Shanghai ; 200444 ; China
  3. Shanghai Key Laboratory of Mechanics in Energy Engineering ; Shanghai University ; Shanghai ; 200072 ; China
  
• 关键词：adaptive synchronization ; sliding mode control ; Lyapunov stability ; small ; world network ; O415.5 ; 93C83 ; 93D05
• 刊名：Applied Mathematics and Mechanics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：36
• 期：3
• 页码：319-328
• 全文大小：202 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

The outer synchronization of irregular coupled complex networks is investigated with nonidentical topological structures. The switching gain is estimated by an adaptive technique, and a sliding mode controller is designed to satisfy the sliding condition. The outer synchronization between two irregular coupled complex networks with different initial conditions is implemented via the designed controllers with the corresponding parameter update laws. The chaos synchronization of two small-world networks consisting of N uncertain identical Lorenz systems is achieved to demonstrate the applications of the proposed approach.