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Novel hierarchical control algorithms employing estimator approaches are proposed to tackle the aforementioned challenges. More specifically, the control protocol is first designed to accomplish fixed-time bipartite consensus (Fix-TBC). The settling time obtained by using fixed-time control algorithm is restricted to its upper bound, but it may result in a conservative estimation of the bound. Consequently, it indicates the need for designing another control protocol to address the prescribed-time bipartite consensus (Pre-TBC) problem. By invoking Lyapunov stability theory, some sufficient conditions for achieving fixed-time and prescribed-time bipartite consensus of the ELSs are derived. Numerical examples are ultimately provided to demonstrate results.<\/jats:p>","DOI":"10.1177\/01423312241265533","type":"journal-article","created":{"date-parts":[[2024,8,14]],"date-time":"2024-08-14T10:15:26Z","timestamp":1723630526000},"page":"1204-1216","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Hierarchical estimator-based fixed-time and prescribed-time bipartite consensus of multiple Euler-Lagrange systems with a directed signed graph"],"prefix":"10.1177","volume":"47","author":[{"given":"Ren-Jie","family":"Gu","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6643-7369","authenticated-orcid":false,"given":"Tao","family":"Han","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0199-0574","authenticated-orcid":false,"given":"Bo","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}]},{"given":"Xi-Sheng","family":"Zhan","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5496-1809","authenticated-orcid":false,"given":"Huaicheng","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, East China University of Science and Technology, China"}]}],"member":"179","published-online":{"date-parts":[[2024,8,14]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2021.3100764"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2912973"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2023.03.051"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2021.3050370"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2914861"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2020.3047232"},{"key":"e_1_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2021.3104933"},{"issue":"1","key":"e_1_3_2_9_1","first-page":"32","article-title":"Observer-based bipartite consensus of descriptor multi-agent systems","volume":"40","author":"Han T","year":"2023","unstructured":"Han T, Guan Z, Zhan X, et al. 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