A fixed-time inverse-free dynamical system for solving the system of absolute value equations
Dynamical Systems
2023-05-25 v1 Optimization and Control
Abstract
In this paper, an inverse-free dynamical system with fixed-time convergence is presented to solve the system of absolute value equations (AVEs). Under a mild condition, it is proved that the solution of the proposed dynamical system converges to the solution of the AVEs. Moreover, in contrast to the existing inverse-free dynamical system \cite{chen2021}, a conservative settling-time of the proposed method is given. Numerical simulations illustrate the effectiveness of the new method.
Keywords
Cite
@article{arxiv.2208.10691,
title = {A fixed-time inverse-free dynamical system for solving the system of absolute value equations},
author = {Xuehua Li and Dongmei Yu and Yinong Yang and Deren Han and Cairong Chen},
journal= {arXiv preprint arXiv:2208.10691},
year = {2023}
}
Comments
3 figures. arXiv admin note: text overlap with arXiv:2208.05308