A fixed-time stable dynamical model for solving EVLCPs
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915414334767104 |
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| author | Wei, Yufei Lin, Shiping Chen, Cairong Yu, Dongmei Han, Deren |
| author_facet | Wei, Yufei Lin, Shiping Chen, Cairong Yu, Dongmei Han, Deren |
| contents | A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a special case of a new kind of generalized absolute value equations. Some properties of the new kind of generalized absolute value equations are explored which are useful for developing a fixed-time stable dynamical system for solving it. Without using any smoothing technique, we develop a dynamical system for solving the new kind of generalized absolute value equations and prove its fixed-time stability. The model is applicable for solving EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are given. Numerical results are given to demonstrate our claims. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20652 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A fixed-time stable dynamical model for solving EVLCPs Wei, Yufei Lin, Shiping Chen, Cairong Yu, Dongmei Han, Deren Numerical Analysis Optimization and Control 90C33, 65H10, 90C30 A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a special case of a new kind of generalized absolute value equations. Some properties of the new kind of generalized absolute value equations are explored which are useful for developing a fixed-time stable dynamical system for solving it. Without using any smoothing technique, we develop a dynamical system for solving the new kind of generalized absolute value equations and prove its fixed-time stability. The model is applicable for solving EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are given. Numerical results are given to demonstrate our claims. |
| title | A fixed-time stable dynamical model for solving EVLCPs |
| topic | Numerical Analysis Optimization and Control 90C33, 65H10, 90C30 |
| url | https://arxiv.org/abs/2507.20652 |