{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,22]],"date-time":"2026-05-22T11:10:34Z","timestamp":1779448234347,"version":"3.53.1"},"reference-count":21,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T00:00:00Z","timestamp":1776038400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["101055384"],"award-info":[{"award-number":["101055384"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Automatica"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.automatica.2026.112989","type":"journal-article","created":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T04:24:54Z","timestamp":1776486294000},"page":"112989","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["On poly-quadratic stabilizability and detectability of polytopic LPV systems"],"prefix":"10.1016","volume":"189","author":[{"given":"Tomas J.","family":"Meijer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Victor","family":"Dolk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"W.P.M.H.","family":"(Maurice) Heemels","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.automatica.2026.112989_b1","article-title":"Robust control of linear systems subject to uncertain time-varying parameters","author":"Amato","year":"2006"},{"key":"10.1016\/j.automatica.2026.112989_b2","doi-asserted-by":"crossref","unstructured":"Athanasopoulos,\u00a0N., & Lazar,\u00a0M. (2014). Stability analysis of switched linear systems defined by graphs. In 53rd IEEE conf. decis. control (pp. 5451\u20135456).","DOI":"10.1109\/CDC.2014.7040241"},{"key":"10.1016\/j.automatica.2026.112989_b3","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/S0167-6911(01)00118-9","article-title":"Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties","volume":"43","author":"Daafouz","year":"2001","journal-title":"Systems & Control Letters"},{"issue":"10","key":"10.1016\/j.automatica.2026.112989_b4","doi-asserted-by":"crossref","first-page":"2219","DOI":"10.1080\/00207721.2022.2049394","article-title":"Discrete-time H2 and H\u221e poly-quadratic filter designs for polytopic LPV systems","volume":"53","author":"de Oliveira","year":"2022","journal-title":"International Journal of Systems Science"},{"key":"10.1016\/j.automatica.2026.112989_b5","series-title":"LMIs in control systems: Analysis, design and applications","author":"Duan","year":"2015"},{"issue":"4","key":"10.1016\/j.automatica.2026.112989_b6","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1002\/rnc.4590040403","article-title":"A linear matrix inequality approach to H\u221e control","volume":"4","author":"Gahinet","year":"1994","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"10.1016\/j.automatica.2026.112989_b7","series-title":"Matrix computations","author":"Golub","year":"1996"},{"key":"10.1016\/j.automatica.2026.112989_b8","series-title":"Robust control and linear parameter-varying approaches","article-title":"Polytopic observers for LPV discrete-time systems","author":"Halimi","year":"2013"},{"issue":"9","key":"10.1016\/j.automatica.2026.112989_b9","doi-asserted-by":"crossref","first-page":"2130","DOI":"10.1109\/TAC.2010.2051072","article-title":"Observer-based control of discrete-time LPV systems with uncertain parameters","volume":"55","author":"Heemels","year":"2010","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/j.automatica.2026.112989_b10","series-title":"Linear systems theory","author":"Hespanha","year":"2018"},{"issue":"8","key":"10.1016\/j.automatica.2026.112989_b11","doi-asserted-by":"crossref","first-page":"4187","DOI":"10.1109\/TAC.2017.2682221","article-title":"Existence of continuous or constant Finsler\u2019s variables for parameter-dependent systems","volume":"62","author":"Ishihara","year":"2017","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/j.automatica.2026.112989_b12","series-title":"Nonlinear Systems","author":"Khalil","year":"1996"},{"key":"10.1016\/j.automatica.2026.112989_b13","series-title":"Switching in systems and control","author":"Liberzon","year":"2003"},{"issue":"11","key":"10.1016\/j.automatica.2026.112989_b14","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1016\/j.sysconle.2012.07.010","article-title":"Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems","volume":"61","author":"Mason","year":"2012","journal-title":"Systems & Control Letters"},{"key":"10.1016\/j.automatica.2026.112989_b15","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2024.111841","article-title":"Certificates of nonexistence for analyzing stability, stabilizability and detectability of LPV systems","volume":"170","author":"Meijer","year":"2024","journal-title":"Automatica"},{"key":"10.1016\/j.automatica.2026.112989_b16","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.automatica.2017.02.006","article-title":"A new discrete-time stabilizability condition for Linear Parameter-Varying Systems","volume":"79","author":"Pandey","year":"2017","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/j.automatica.2026.112989_b17","doi-asserted-by":"crossref","first-page":"8624","DOI":"10.1016\/j.ifacol.2017.08.1512","article-title":"Quadratic and poly-quadratic discrete-time stabilizability of linear parameter-varying systems","volume":"50","author":"Pandey","year":"2017","journal-title":"IFAC-PapersOnLine"},{"issue":"9","key":"10.1016\/j.automatica.2026.112989_b18","doi-asserted-by":"crossref","first-page":"3187","DOI":"10.1109\/TAC.2018.2794403","article-title":"On the necessity of LMI-based design conditions for discrete-time LPV filters","volume":"63","author":"Pandey","year":"2018","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"4","key":"10.1016\/j.automatica.2026.112989_b19","doi-asserted-by":"crossref","first-page":"1016","DOI":"10.1002\/oca.2712","article-title":"Discrete-time H2 state-feedback control of polytopic LPV systems","volume":"42","author":"Pereira","year":"2021","journal-title":"Optimal Control Applications & Methods"},{"key":"10.1016\/j.automatica.2026.112989_b20","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/j.automatica.2016.05.015","article-title":"Stability of discrete-time switching systems with constrained switching sequences","volume":"72","author":"Philippe","year":"2016","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/j.automatica.2026.112989_b21","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/0167-6911(88)90034-5","article-title":"Robust stabilization of linear systems with norm-bounded time-varying uncertainty","volume":"10","author":"Zhou","year":"1988","journal-title":"Systems & Control Letters"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109826001731?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109826001731?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,22]],"date-time":"2026-05-22T10:59:11Z","timestamp":1779447551000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109826001731"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":21,"alternative-id":["S0005109826001731"],"URL":"https:\/\/doi.org\/10.1016\/j.automatica.2026.112989","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On poly-quadratic stabilizability and detectability of polytopic LPV systems","name":"articletitle","label":"Article Title"},{"value":"Automatica","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.automatica.2026.112989","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}],"article-number":"112989"}}