A New Fixed-Time Dynamical System for Absolute Value Equations
Year: 2023
Author: Dongmei Yu, Xuehua Li, Yinong Yang, Dongmei Yu, Deren Han, Cairong Chen, Yinong Yang, Deren Han, Cairong Chen
Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 3 : pp. 622–633
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2022-0148
Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 3 : pp. 622–633
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Absolute value equation fixed-time convergence dynamical system numerical simulation.
Author Details
Dongmei Yu Email
Xuehua Li Email
Yinong Yang Email
Dongmei Yu Email
Deren Han Email
Cairong Chen Email
Yinong Yang Email
Deren Han Email
Cairong Chen Email
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