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<p>A fixed-time stable dynamical model for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a kind of new generalized absolute value equation. Some properties of the new generalized absolute value equation are explored, which are useful for developing a fixed-time stable dynamical model for solving it. Without using any smoothing technique, we develop a dynamical model for solving the new generalized absolute value equation and prove its fixed-time stability. The model can be used to solve EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are provided. Numerical results are given to demonstrate our claims.</p>

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A Fixed-Time Stable Dynamical Model for Solving EVLCPs

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • Yu-Fei Wei,
  • Shi-Ping Lin,
  • Cai-Rong Chen,
  • Dong-Mei Yu,
  • De-Ren Han

摘要

A fixed-time stable dynamical model for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a kind of new generalized absolute value equation. Some properties of the new generalized absolute value equation are explored, which are useful for developing a fixed-time stable dynamical model for solving it. Without using any smoothing technique, we develop a dynamical model for solving the new generalized absolute value equation and prove its fixed-time stability. The model can be used to solve EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are provided. Numerical results are given to demonstrate our claims.