{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T07:39:30Z","timestamp":1763105970190,"version":"3.37.3"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2023,9,7]],"date-time":"2023-09-07T00:00:00Z","timestamp":1694044800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","award":["RSPD2023R683"],"award-info":[{"award-number":["RSPD2023R683"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2023,9,7]]},"abstract":"<jats:p>An investigation of the input-to-state practical stability (ISpS) and the integral input-to-state practical stability (iISpS) of nonlinear systems with time delays (NSWTDs) is presented in this paper. The ISpS and iISpS of the systems are obtained by using a continuously differentiable Lyapunov\u2013Krasovskii functional (LKF) within-definite derivative, which generalizes the classical LKF with a positive definite derivative. As a result, the uniform practical asymptotic stability (UPAS) criteria of NSWTD were also given by using the proposed LKF.<\/jats:p>","DOI":"10.1155\/2023\/7564084","type":"journal-article","created":{"date-parts":[[2023,9,7]],"date-time":"2023-09-07T23:35:05Z","timestamp":1694129705000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Practical Input-to-State Stability of Nonlinear Systems with Time Delay"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7142-7026","authenticated-orcid":true,"given":"Abdellatif","family":"Ben Makhlouf","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, Sfax, Tunisia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2761-1402","authenticated-orcid":true,"given":"Nizar","family":"Hadj Taieb","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, Sfax, Tunisia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2400-9275","authenticated-orcid":true,"given":"Mohamed","family":"Rhaima","sequence":"additional","affiliation":[{"name":"Department of Statistics and Operations Research, College of Sciences, King Saud University, P.O. 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