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This paper proposed a distributed solution algorithm to solve large-scale linear algebraic equations (LAEs) with parameter perturbations via multiagent network. Firstly, the least-squares solution of LAEs with parameter perturbations was equivalently transformed into the unperturbed form through error-bound analysis. Then, a distributed solution algorithm was developed and the exponential convergence proof was derived based on the Lyapunov’s method. The effectiveness of the proposed algorithm was demonstrated, and its error bounds were validated through numerical simulations.

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Distributed Solution Algorithm for Linear Algebraic Equations with Parameter Perturbations

  • 会议论文

  • 发表日期：

    2026年

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  • Haonan Liu,
  • Lei Wang,
  • Mengyuan Wang,
  • Yun Wang,
  • Juntao Li

摘要

This paper proposed a distributed solution algorithm to solve large-scale linear algebraic equations (LAEs) with parameter perturbations via multiagent network. Firstly, the least-squares solution of LAEs with parameter perturbations was equivalently transformed into the unperturbed form through error-bound analysis. Then, a distributed solution algorithm was developed and the exponential convergence proof was derived based on the Lyapunov’s method. The effectiveness of the proposed algorithm was demonstrated, and its error bounds were validated through numerical simulations.