TY - JOUR
T1 - A New Fixed-Time Dynamical System for Absolute Value Equations
AU - Li , Xuehua
AU - Yu , Dongmei
AU - Yang , Yinong
AU - Han , Deren
AU - Chen , Cairong
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 622
EP - 633
PY - 2023
DA - 2023/08
SN - 16
DO - http://doi.org/10.4208/nmtma.OA-2022-0148
UR - https://global-sci.org/intro/article_detail/nmtma/21960.html
KW - Absolute value equation, fixed-time convergence, dynamical system, numerical simulation.
AB - <p style="text-align: justify;">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.</p>