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

Autor:	Li, Xuehua, Yu, Dongmei, Yang, Yinong, Han, Deren, Chen, Cairong
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematics - Optimization and Control
Zdroj:	Numer. Math. Theor. Meth. Appl.-2023
Druh dokumentu:	Working Paper
DOI:	10.4208/nmtma.OA-2022-0148
Popis:	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. Comment: 3 figures. arXiv admin note: text overlap with arXiv:2208.05308
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.10691 Zobrazit plný text záznamu View this record from Arxiv