Article ; Online: A novel predefined-time neurodynamic approach for mixed variational inequality problems and applications.
Neural networks : the official journal of the International Neural Network Society
2024 Volume 174, Page(s) 106247
Abstract: In this paper, we propose a novel neurodynamic approach with predefined-time stability that offers a solution to address mixed variational inequality problems. Our approach introduces an adjustable time parameter, thereby enhancing flexibility and ... ...
| Abstract | In this paper, we propose a novel neurodynamic approach with predefined-time stability that offers a solution to address mixed variational inequality problems. Our approach introduces an adjustable time parameter, thereby enhancing flexibility and applicability compared to conventional fixed-time stability methods. By satisfying certain conditions, the proposed approach is capable of converging to a unique solution within a predefined-time, which sets it apart from fixed-time stability and finite-time stability approaches. Furthermore, our approach can be extended to address a wide range of mathematical optimization problems, including variational inequalities, nonlinear complementarity problems, sparse signal recovery problems, and nash equilibria seeking problems in noncooperative games. We provide numerical simulations to validate the theoretical derivation and showcase the effectiveness and feasibility of our proposed method. |
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| MeSH term(s) | Neural Networks, Computer ; Algorithms | |||||
| Language | English | |||||
| Publishing date | 2024-03-16 | |||||
| Publishing country | United States | |||||
| Document type | Journal Article | |||||
| ZDB-ID | 740542-x | |||||
| ISSN | 1879-2782 ; 0893-6080 | |||||
| ISSN (online) | 1879-2782 | |||||
| ISSN | 0893-6080 | |||||
| DOI | 10.1016/j.neunet.2024.106247 | |||||
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| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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