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Synchronization between Two Discrete-Time Networks with Mutual Couplings

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  • Meng Xiao
  • Weigang Sun
  • Fangyue Chen

Abstract

We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.

Suggested Citation

  • Meng Xiao & Weigang Sun & Fangyue Chen, 2013. "Synchronization between Two Discrete-Time Networks with Mutual Couplings," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
    • Handle: RePEc:hin:jnlaaa:167198
    DOI: 10.1155/2013/167198
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