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In this paper, a variable-augmented-based free-weighting matrix method is applied to time-varying delayed neural network systems, and unnecessary free weighting matrices are removed. Some results with fewer free-weighting matrices are obtained, while maintaining their stability and conservatism. Finally, a specific neural network numerical example was used to demonstrate the effectiveness of this method.<\/jats:p>","DOI":"10.1007\/s11063-024-11628-7","type":"journal-article","created":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T00:02:07Z","timestamp":1723161727000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Improved Stability Analysis of Neural Networks with Time Delay Based on Variable Augmented Free Weight Matrix"],"prefix":"10.1007","volume":"56","author":[{"given":"FuDong","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Xie","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"WeiYi","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"ZongHao","family":"Shi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,8,9]]},"reference":[{"issue":"8","key":"11628_CR1","doi-asserted-by":"publisher","first-page":"759","DOI":"10.3390\/math7080759","volume":"7","author":"G Rajchakit","year":"2019","unstructured":"Rajchakit G, Pratap A, Raja R, Cao J, Alzabut J, Huang C (2019) Hybrid control scheme for projective lag synchronization of Riemann-Liouville sense fractional order memristive bam neuralnetworks with mixed delays. 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