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Observer-based fixed-time topology identification and synchronization for complex networks via quantized pinning control strategy

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  • Wu, Huaiqin
  • Zhao, Xueqing
  • Wang, Lingyan
  • Cao, Jinde

Abstract

This paper is concerned with observer-based topology identification and synchronization in fixed time for multi-weighted complex networks (MWCNs) with/without output couplings. Firstly, a new fixed-time stability criterion is developed for continuous nonlinear systems by utilizing incomplete beta function and beta function ratio. Secondly, a quantized pinning controller and several topology observers are designed respectively to realize the fixed-time topology identification (FTTI) and the fixed-time synchronization (FTS) objective. Thirdly, by applying Lyapunov functional approach, the proposed stability criteria and the inequality analysis technique, some sufficient conditions with respect to the FTTI and the FTS are addressed in terms of linear matrix inequalities (LMIs). Eventually, the Chua's chaotic circuit and the island micro-grid, as two practical application examples, are given to demonstrate the effectiveness of the designed control strategies and the correctness of the obtained theoretical results.

Suggested Citation

  • Wu, Huaiqin & Zhao, Xueqing & Wang, Lingyan & Cao, Jinde, 2025. "Observer-based fixed-time topology identification and synchronization for complex networks via quantized pinning control strategy," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325002942
    DOI: 10.1016/j.amc.2025.129568
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