{"title":"Comments on “Distributed optimization of multi-integrator agent systems with mixed neighbor interactions” [Automatica 157 (2023) 111245 ]","authors":"Jiaxu Liu , Song Chen","doi":"10.1016/j.automatica.2024.112007","DOIUrl":null,"url":null,"abstract":"<div><div>This note aims to identify and rectify the flaws found in the proof of Chen et al. (2023), specifically in Lemma 2, Lemma 3, Theorem 1, and Theorem 2. While the conclusions of Lemma 2, Lemma 3, and Theorem 1 remain valid, certain aspects of their proofs are found to be flawed. This note provides modifications to address these flaws. Additionally, the statement and proof of Theorem 2 are shown to be incorrect. A corrected Theorem 2 with proof is given.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"172 ","pages":"Article 112007"},"PeriodicalIF":4.8000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109824005016","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This note aims to identify and rectify the flaws found in the proof of Chen et al. (2023), specifically in Lemma 2, Lemma 3, Theorem 1, and Theorem 2. While the conclusions of Lemma 2, Lemma 3, and Theorem 1 remain valid, certain aspects of their proofs are found to be flawed. This note provides modifications to address these flaws. Additionally, the statement and proof of Theorem 2 are shown to be incorrect. A corrected Theorem 2 with proof is given.
期刊介绍:
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
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