论文标题

一个固定的无逆动力学系统,用于求解绝对值方程的系统

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

论文作者

Li, Xuehua, Yu, Dongmei, Yang, Yinong, Han, Deren, Chen, Cairong

论文摘要

在本文中,提出了具有固定时间收敛的无反向动力学系统,以求解绝对值方程(AVES)的系统。在温和的条件下,证明所提出的动力系统的解会收敛到大街的溶液。此外,与现有的无反向动力学系统\ cite {chen2021}相反,给出了所提出方法的保守定居时间。数值模拟说明了新方法的有效性。

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.

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