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Generalized Outer Synchronization between Complex Networks with Unknown Parameters

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  • Di Ning
  • Xiaoqun Wu
  • Jun-an Lu
  • Hui Feng

Abstract

As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat's lemma. If the functional relations are not known, the auxiliary-system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results.

Suggested Citation

  • Di Ning & Xiaoqun Wu & Jun-an Lu & Hui Feng, 2013. "Generalized Outer Synchronization between Complex Networks with Unknown Parameters," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnlaaa:802859
    DOI: 10.1155/2013/802859
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    Cited by:

    1. Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.

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