Pinning Synchronization in T-S Fuzzy Complex Networks With Partial and Discrete-Time Couplings

Chi Huang*, Daniel W. C. Ho, Jianquan Lu, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

Communication constraints, which may lead to the degradation of performance, are common and unavoidable in a real-world network. In this paper, two kinds of communication constraints are considered during the process of information transmission in Takagi-Sugeno (TS) fuzzy complex network: 1) partial couplings, where only some part of nodes' state information can be transmitted and the channel matrices are introduced to reflect such a phenomenon; and 2) discrete-time couplings, where the nodes' information are sampled at certain time instants. This is the first time when both communication constraints are simultaneously considered in fuzzy complex networks. Compared with the perfect communication, much less information is available for synchronization. To overcome this difficulty, a regrouping method is employed to reconstruct the fuzzy network. The concise conditions are then proposed to ensure pinning synchronization of fuzzy complex networks with partial and discrete-time couplings. Simulation examples are also provided to demonstrate the effectiveness of the theoretical results.

Original languageEnglish
Pages (from-to)1274-1285
Number of pages12
JournalIEEE Transactions on Fuzzy Systems: a Publication of the IEEE Neural Networks Council
Volume23
Issue number4
Early online date21 Aug 2014
DOIs
Publication statusPublished - Aug 2015

Keywords

  • Fuzzy complex networks
  • partial information transmission
  • pinning synchronization
  • sampled data
  • input delay approach
  • H-infinity control
  • dynamical networks
  • exponential synchronization
  • partial-information
  • sensor networks
  • linear-systems
  • stabilization
  • stability
  • controller

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