A predefined-time neurodynamic model for solving absolute value equation.
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- Record sourced from PubMed, PMID 42019219.
- Also identified by DOI 10.1016/j.neunet.2026.109010.
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Abstract
This study presents a new neurodynamic model for solving absolute value equation. The proposed model allows users to flexibly preset the convergence time according to practical requirements. To facilitate the theoretical analysis, we first introduce a novel and universal lemma on predefined-time convergence, and then prove that the proposed model not only converges to the exact solution of absolute value equation within a predefined-time, but also has strong robustness against bounded vanishing and non- vanishing noise. Finally, two numerical experiments validate the superiority of the proposed model in terms of convergence speed and robustness.