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A Fixed-Time Stable Dynamical Model for Solving EVLCPs
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DOI：10.1007/s40305-026-00677-5.png)
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Abstract
En 中文
A fixed-time stable dynamical model for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a kind of new generalized absolute value equation. Some properties of the new generalized absolute value equation are explored, which are useful for developing a fixed-time stable dynamical model for solving it. Without using any smoothing technique, we develop a dynamical model for solving the new generalized absolute value equation and prove its fixed-time stability. The model can be used to solve EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are provided. Numerical results are given to demonstrate our claims.
Keywords:
The extended vertical linear complementarity problem
Generalized absolute value equation
Dynamical model
Fixed-time stability
Unique solvability
Error bound
Journal
J
IF:
1.1
Papers:
72
Citations:
487
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Cited Papers
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