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By using a combination of the Routh stability criterion and the final value theorem of the <jats:italic>Z<\/jats:italic>-transformation, the convergence conditions are obtained for the developed PIDLPSO algorithm. Finally, the experiment results reveal the superiority of the designed PIDLPSO algorithm over several other state-of-the-art PSO variants in terms of the population diversity, searching ability and convergence rate.<\/jats:p>","DOI":"10.1007\/s40747-021-00589-2","type":"journal-article","created":{"date-parts":[[2021,11,25]],"date-time":"2021-11-25T09:02:36Z","timestamp":1637830956000},"page":"1217-1228","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A novel PID-like particle swarm optimizer: on terminal convergence analysis"],"prefix":"10.1007","volume":"8","author":[{"given":"Chuang","family":"Wang","sequence":"first","affiliation":[]},{"given":"Zidong","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Fei","family":"Han","sequence":"additional","affiliation":[]},{"given":"Hongli","family":"Dong","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6471-5089","authenticated-orcid":false,"given":"Hongjian","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,11,25]]},"reference":[{"key":"589_CR1","doi-asserted-by":"publisher","first-page":"105979","DOI":"10.1016\/j.asoc.2019.105979","volume":"88","author":"M Amin","year":"2020","unstructured":"Amin M, Saeid G, Seyed H, Behnam ZG (2020) Application of neural network and weighted improved PSO for uncertainty modeling and optimal allocating of renewable energies along with battery energy storage. 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