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<p>This paper systematically investigates the predefined-time projective synchronization problem for uncertain complex dynamic networks subject to external disturbances. First, to improve the accuracy of characterizing real-world complex dynamic networks, we construct a novel complex dynamic network model that fully incorporates both external disturbances and internal parameter uncertainties. On this basis, we propose a new predefined-time stability theorem, which significantly enhances the generality of stability criteria by expanding the allowable range of parameter values. Finally, numerical simulation results are provided to verify the effectiveness and feasibility of the proposed model and theorem for addressing the aforementioned predefined-time projective synchronization problem.</p>

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Predefined-time projective synchronization of uncertain complex dynamical networks with external disturbances under event-triggered control

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Hui Zhao,
  • Lina Gao,
  • Lei Zhou,
  • Qingfang Meng,
  • YueHui Chen,
  • Lixiang Li

摘要

This paper systematically investigates the predefined-time projective synchronization problem for uncertain complex dynamic networks subject to external disturbances. First, to improve the accuracy of characterizing real-world complex dynamic networks, we construct a novel complex dynamic network model that fully incorporates both external disturbances and internal parameter uncertainties. On this basis, we propose a new predefined-time stability theorem, which significantly enhances the generality of stability criteria by expanding the allowable range of parameter values. Finally, numerical simulation results are provided to verify the effectiveness and feasibility of the proposed model and theorem for addressing the aforementioned predefined-time projective synchronization problem.