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arXiv · 2208.10691

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

Xuehua Li·Dongmei Yu·Yinong Yang·Deren Han·Cairong Chen
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Abstract

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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Xuehua Li, Dongmei Yu, Yinong Yang, Deren Han, Cairong Chen. 2022-08-23. A fixed-time inverse-free dynamical system for solving the system of absolute value equations. https://doi.org/10.4208/nmtma.oa-2022-0148

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