A Fixed-Time Stable Dynamical Model for Solving EVLCPs

Yu Fei Wei; Shi Ping Lin; Cai Rong Chen; Dong Mei Yu; De Ren Han

doi:10.1007/s40305-026-00677-5

A Fixed-Time Stable Dynamical Model for Solving EVLCPs

Yu Fei Wei
, Shi Ping Lin
, Cai Rong Chen^*
, Dong Mei Yu
, De Ren Han

^*Corresponding author for this work

School of Mathematical Sciences

Fujian Normal University
Liaoning Technical University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Journal	Journal of the Operations Research Society of China
DOIs	https://doi.org/10.1007/s40305-026-00677-5
State	Accepted/In press - 2026

Keywords

Dynamical model
Error bound
Fixed-time stability
Generalized absolute value equation
The extended vertical linear complementarity problem
Unique solvability

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10.1007/s40305-026-00677-5

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title = "A Fixed-Time Stable Dynamical Model for Solving EVLCPs",

abstract = "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.",

keywords = "Dynamical model, Error bound, Fixed-time stability, Generalized absolute value equation, The extended vertical linear complementarity problem, Unique solvability",

author = "Wei, \{Yu Fei\} and Lin, \{Shi Ping\} and Chen, \{Cai Rong\} and Yu, \{Dong Mei\} and Han, \{De Ren\}",

note = "Publisher Copyright: {\textcopyright} Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature 2026.",

year = "2026",

doi = "10.1007/s40305-026-00677-5",

language = "英语",

journal = "Journal of the Operations Research Society of China",

issn = "2194-668X",

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TY - JOUR

T1 - A Fixed-Time Stable Dynamical Model for Solving EVLCPs

AU - Wei, Yu Fei

AU - Lin, Shi Ping

AU - Chen, Cai Rong

AU - Yu, Dong Mei

AU - Han, De Ren

N1 - Publisher Copyright: © Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature 2026.

PY - 2026

Y1 - 2026

N2 - 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.

AB - 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.

KW - Dynamical model

KW - Error bound

KW - Fixed-time stability

KW - Generalized absolute value equation

KW - The extended vertical linear complementarity problem

KW - Unique solvability

UR - https://www.scopus.com/pages/publications/105038321643

U2 - 10.1007/s40305-026-00677-5

DO - 10.1007/s40305-026-00677-5

M3 - 文章

AN - SCOPUS:105038321643

SN - 2194-668X

JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

ER -

A Fixed-Time Stable Dynamical Model for Solving EVLCPs

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Keywords

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