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It is rigorously proved that the iterative sequence generated by the discrete-time neurodynamic approach converges to the optimal solution set of the distributed optimization problem. Finally, numerical examples are solved to demonstrate the effectiveness of the proposed neurodynamic approaches, and the neurodynamic approach is further applied to solve the ill-conditioned Least Absolute Deviation problem and the load sharing optimization problem.<\/jats:p>","DOI":"10.1007\/s40747-022-00770-1","type":"journal-article","created":{"date-parts":[[2022,5,30]],"date-time":"2022-05-30T08:04:19Z","timestamp":1653897859000},"page":"5511-5530","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Distributed neurodynamic approaches to nonsmooth optimization problems with inequality and set constraints"],"prefix":"10.1007","volume":"8","author":[{"given":"Linhua","family":"Luan","sequence":"first","affiliation":[]},{"given":"Xingnan","family":"Wen","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4543-4940","authenticated-orcid":false,"given":"Sitian","family":"Qin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,30]]},"reference":[{"key":"770_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69512-4","volume-title":"Differential inclusions","author":"J Aubin","year":"1984","unstructured":"Aubin J, Cellina A (1984) Differential inclusions. 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We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, and there is no professional or other personal interest of any nature or kind in any product, service and\/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled \u201cDistributed Neurodynamic Approaches to Nonsmooth Optimization Problems with Inequality and Set Constraints\u201d. This research is supported by the National Natural Science Foundation of China (62176073, 11871178).","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}