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Autonomous underwater vehicle stabilization is limited by several constraints, including time-variable uncertainty, time delay, and disturbances. The interaction of descriptor system requirements and the issues mentioned above adds complexities. This study outlines the delay-dependent [Formula: see text] robust stability achieved through memory-less and memory state feedback. Furthermore, a less conservative sufficient condition is obtained for admissibility using a new delay-dependent linear matrices inequality. Autonomous underwater vehicle is regular, impulse-free, and stable under all permissible conditions and satisfies prescribed [Formula: see text] performance conditions via a Lyapunov functional approach. The method applies to neutral and retarded dynamics with discrete and distributed time delays.<\/jats:p>","DOI":"10.1177\/09596518221102204","type":"journal-article","created":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T01:09:43Z","timestamp":1654650583000},"page":"1692-1708","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Robust stabilization for an autonomous underwater vehicle motion based on descriptor time-delay model"],"prefix":"10.1177","volume":"236","author":[{"given":"Mohammad","family":"Hedayati Khodayari","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Naser","family":"Pariz","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, 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