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

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Abstract

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.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Shuang Liu & Liqun Chen

  2. Department of Mechanics, Shanghai University, Shanghai, 200444, China

    Liqun Chen

  3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Liqun Chen

Authors
  1. Shuang Liu
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  2. Liqun Chen
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Correspondence to Liqun Chen.

Additional information

Project supported by the State Key Program of the National Natural Science Foundation of China (No. 11232009) and the Shanghai Leading Academic Discipline Project (No. S30106)

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Liu, S., Chen, L. Outer synchronization of uncertain small-world networks via adaptive sliding mode control. Appl. Math. Mech.-Engl. Ed. 36, 319–328 (2015). https://doi.org/10.1007/s10483-015-1911-6

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  • DOI: https://doi.org/10.1007/s10483-015-1911-6

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2010 Mathematics Subject Classification

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