# A fixed-time inverse-free dynamical system for solving the system of absolute value equations

arXiv: https://arxiv.org/abs/2208.10691 · HTML: https://mlsanity.com/paper/2208.10691/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Aug 2022.

## Built on by (most cited first, 1 of 1)

- [The neural network models with delays for solving absolute value equations](https://mlsanity.com/paper/2310.10965/) (2023)

## Abstract (arXiv)

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 citechen2021, a conservative settling-time of the proposed method is given. Numerical simulations illustrate the effectiveness of the new method.