{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:34Z","timestamp":1740141454843,"version":"3.37.3"},"reference-count":37,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T00:00:00Z","timestamp":1580860800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100006319","name":"Centre National pour la Recherche Scientifique et Technique","doi-asserted-by":"publisher","award":["9USMBA2017"],"award-info":[{"award-number":["9USMBA2017"]}],"id":[{"id":"10.13039\/501100006319","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper deals with the problem of robust $H_{\\infty }$ filtering for uncertain two-dimensional discrete systems in the Fornasini\u2013Marchesini second model with polytopic parameter uncertainties. Firstly, a new $H_{\\infty }$ performance criterion is derived by exploiting a new structure of the parameter-dependent Lyapunov function. Secondly, based on the criterion obtained, a new condition for the existence of a robust $H_{\\infty }$ filter that ensures asymptotic stability, and a prescribed $H_{\\infty }$ performance level of the filtering error system, for all admissible uncertainties is established in terms of linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness and advantage of the proposed method.<\/jats:p>","DOI":"10.1093\/imamci\/dnz039","type":"journal-article","created":{"date-parts":[[2019,12,10]],"date-time":"2019-12-10T20:12:00Z","timestamp":1576008720000},"page":"1114-1132","source":"Crossref","is-referenced-by-count":2,"title":["Parameter-dependent robust <i>H<\/i>\u221e filtering for uncertain two-dimensional discrete systems in the FM second model"],"prefix":"10.1093","volume":"37","author":[{"given":"Khalid","family":"Badie","sequence":"first","affiliation":[{"name":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco"}]},{"given":"Mohammed","family":"Alfidi","sequence":"additional","affiliation":[{"name":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco"}]},{"given":"Mohamed","family":"Oubaidi","sequence":"additional","affiliation":[{"name":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco"}]},{"given":"Zakaria","family":"Chalh","sequence":"additional","affiliation":[{"name":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco"}]}],"member":"286","published-online":{"date-parts":[[2020,2,5]]},"reference":[{"key":"2020121601134489900_ref1","first-page":"22","article-title":"Preconditioning in $H(div)$ and applications","volume":"21","author":"Anderson","year":"1979","journal-title":"Englewood Cliffs."},{"key":"2020121601134489900_ref2","doi-asserted-by":"crossref","first-page":"5333","DOI":"10.1007\/s00034-018-0839-z","article-title":"Delay-dependent stability and ${H}_{\\infty }$ performance of 2-D continuous systems with delays","volume":"37","author":"Badie","year":"2018","journal-title":"Circ. 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