A New Fixed-Time Dynamical Systemfor Absolute Value Equations  

作　　者：Xuehua Li Dongmei Yu Yinong Yang Deren Han Cairong Chen 

机构地区：[1]School of Mathematics and Statistics,FJKLMAA and Center for Applied Mathematics of Fujian Province,Fujian Normal University,Fuzhou 350007,P.R.China [2]Institute for Optimization and Decision Analytics,Liaoning Technical University,Fuxin 123000,P.R.China [3]School of Mathematics and Statistics,Liaoning University,Shenyang 110036,P.R.China [4]LMIB of the Ministry of Education,School of Mathematical Sciences,Beihang University,Beijing 100191,P.R.China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2023年第3期622-633,共12页高等学校计算数学学报（英文版）

基　　金：supported partially by the National Natural Science Foundation of China(Grant No.12201275);by the Ministry of Education in China of Humanities and Social Science Project(Grant No.21YJCZH204);by the Liaoning Provincial Department of Education(Grant Nos.LJKFZ20220198,2023lslqnkt-044);supported partially by the National Natural Science Foundation of China(Grant No.12101281);supported partially by the National Natural Science Foundation of China(Grant Nos.12131004,11625105);by the Ministry of Science and Technology of China(Grant No.2021YFA1003600);supported partially by the National Natural Science Foundation of China(Grant No.11901024);by the Natural Science Foundation of Fujian Province(Grant No.2021J01661).

摘　　要：A novel dynamical model 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 inversion-free dynamical system(C.Chen et al.,Appl.Numer.Math.168(2021),170–181),a conservative settling-time of the proposed method is given.Numerical simulations illustrate the effectiveness of the new method.

关 键 词：Absolute value equation fixed-time convergence dynamical system numerical simulation 

分 类 号：O17[理学—数学]