Error Analysis Strategy for Long-Term Correlated Network Systems: Generalized Nonlinear Stochastic Processes and Dual-Layer Filtering Architecture

The rapid development of IoT technology has promoted the integration and networked fusion of massive heterogeneous sensors. However, traditional Gaussian-Markov frameworks struggle to characterize nonlinear long-term correlated errors within systems and network cooperative effects, limiting inter-node interoperability. To address this, we propose a generalized nonlinear stochastic process (GNSP) theoretical framework, constructing nonlinear operators with long-term memory characteristics, and employing fractional calculus tools to achieve unified analysis of multiple error types within and across nodes. Based on this, we derive distributed error propagation laws on Lie group spaces, establish boundary criteria…

• NK
  National Key Research and Development Program of China

  Award: 2022YFB4300400