{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,23]],"date-time":"2024-09-23T04:08:46Z","timestamp":1727064526454},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T00:00:00Z","timestamp":1546992000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100007273","name":"Comisi\u00f3n Interministerial de Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","award":["DPI2014-54530-R"],"id":[{"id":"10.13039\/501100007273","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008431","name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","doi-asserted-by":"publisher","award":["CLU 2017-09","UIC 233"],"id":[{"id":"10.13039\/501100008431","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"publisher","award":["UIC 233"],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000785","name":"Education, Audiovisual and Culture Executive Agency","doi-asserted-by":"publisher","award":["ka107"],"id":[{"id":"10.13039\/501100000785","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1007\/s00034-018-01019-4","type":"journal-article","created":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T14:01:46Z","timestamp":1547042506000},"page":"3041-3057","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Stability and Stabilization of 2D Singular Systems: A Strict LMI Approach"],"prefix":"10.1007","volume":"38","author":[{"given":"Marwa","family":"Elloumi","sequence":"first","affiliation":[]},{"given":"Mariem","family":"Ghamgui","sequence":"additional","affiliation":[]},{"given":"Driss","family":"Mehdi","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-4046-3136","authenticated-orcid":false,"given":"Fernando","family":"Tadeo","sequence":"additional","affiliation":[]},{"given":"Mohamed","family":"Chaabane","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,9]]},"reference":[{"key":"1019_CR1","unstructured":"M.S. Boudellioua, K. Galkowski, Reduction of wave linear repetitive processes to 2-d singular state space form, in 23rd International Symposium on Mathematical Theory of Networks and Systems (Hong Kong University of Science and Technology, Hong Kong, 2018), pp. 677\u2013682"},{"key":"1019_CR2","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/s11045-016-0454-8","volume":"28","author":"MS Boudellioua","year":"2017","unstructured":"M.S. Boudellioua, K. Galkowski, E. Rogers, On the connection between discrete linear repetitive processes and 2-d discrete linear systems. Multidimens. Syst. Signal Process. 28, 341\u2013351 (2017). https:\/\/doi.org\/10.1007\/s11045-016-0454-8","journal-title":"Multidimens. Syst. Signal Process."},{"issue":"2","key":"1019_CR3","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1023\/B:MULT.0000017025.77423.7f","volume":"15","author":"C Cai","year":"2004","unstructured":"C. Cai, Y. Zou, A note on the internal stability for 2-D singular discrete systems. Multidimens. Syst. Signal Process. 15(2), 197\u2013204 (2004)","journal-title":"Multidimens. Syst. Signal Process."},{"key":"1019_CR4","doi-asserted-by":"crossref","unstructured":"M. Chaabane, O. Bachelier, M. Souissi, D. Mehdi, Stability and stabilization of continuous descriptor systems: an LMI approach. Math. Probl. Eng. 2006, Article ID 39367 (2006)","DOI":"10.1155\/MPE\/2006\/39367"},{"key":"1019_CR5","doi-asserted-by":"crossref","unstructured":"M. Chaabane, F. Tadeo, D. Mehdi, M. Souissi, Robust admissibilization of descriptor systems by static output-feedback: an LMI approach. Math. Probl. Eng. 2011, Article ID 960981 (2011)","DOI":"10.1155\/2011\/960981"},{"key":"1019_CR6","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1016\/j.amc.2014.11.002","volume":"250","author":"SF Chen","year":"2015","unstructured":"S.F. Chen, Stability analysis and stabilization of 2D singular Roesser models. Appl. Math. Comput. 250, 779\u2013791 (2015)","journal-title":"Appl. Math. Comput."},{"key":"1019_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6397-0","volume-title":"Analysis and design of descriptor linear systems","author":"GR Duan","year":"2010","unstructured":"G.R. Duan, Analysis and design of descriptor linear systems, vol. 23 (Springer, Berlin, 2010)"},{"issue":"1","key":"1019_CR8","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1023\/A:1008438730274","volume":"11","author":"K Galkowski","year":"2000","unstructured":"K. Galkowski, A perspective on singularity in 2d linear systems. Multidimens. Syst. Signal Process. 11(1), 83\u2013108 (2000)","journal-title":"Multidimens. Syst. Signal Process."},{"issue":"14","key":"1019_CR9","doi-asserted-by":"publisher","first-page":"1428","DOI":"10.1080\/00207170310001599113","volume":"76","author":"K Galkowski","year":"2003","unstructured":"K. Galkowski, J. Lam, S. Xu, Z. Lin, LMI approach to state-feedback stabilization of multidimensional systems. Int. J. Control 76(14), 1428\u20131436 (2003)","journal-title":"Int. J. Control"},{"issue":"6","key":"1019_CR10","first-page":"2256","volume":"36","author":"M Ghamgui","year":"2017","unstructured":"M. Ghamgui, D. Mehdi, O. Bachelier, M. Chaabane, Stability of 2D discrete Takagi\u2013Sugeno systems. CSSP 36(6), 2256\u20132274 (2017)","journal-title":"CSSP"},{"key":"1019_CR11","doi-asserted-by":"crossref","unstructured":"M. Ghamgui, N. Yeganefar, O. Bachelier, D. Mehdi, Stability and stabilization of 2D continuous state-delayed systems, in 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) 2011 (IEEE, 2011), pp. 1878\u20131883","DOI":"10.1109\/nDS.2011.6076866"},{"issue":"3","key":"1019_CR12","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1109\/81.557373","volume":"44","author":"T Hinamoto","year":"1997","unstructured":"T. Hinamoto, Stability of 2-D discrete systems described by the Fornasini-Marchesini second model. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 44(3), 254\u2013257 (1997)","journal-title":"IEEE Trans. Circuits Syst. I Fundam. Theory Appl."},{"key":"1019_CR13","series-title":"Lecture Notes in Control and Information Science","volume-title":"Two-Dimensional Linear Systems","year":"1985","unstructured":"T. Kaczorek (ed.), Two-Dimensional Linear Systems, vol. 68, Lecture Notes in Control and Information Science (Springer, New York, 1985)"},{"issue":"7","key":"1019_CR14","doi-asserted-by":"publisher","first-page":"2213","DOI":"10.1007\/s00034-015-9967-x","volume":"34","author":"S Kririm","year":"2015","unstructured":"S. Kririm, A. Hmamed, F. Tadeo, Robust $$ {H}_ {\\infty }$$ H \u221e filtering for uncertain 2D singular Roesser models. Circuits Syst. Signal Process. 34(7), 2213\u20132235 (2015)","journal-title":"Circuits Syst. Signal Process."},{"issue":"5","key":"1019_CR15","doi-asserted-by":"publisher","first-page":"574","DOI":"10.1109\/81.668870","volume":"45","author":"D Liu","year":"1998","unstructured":"D. Liu, Lyapunov stability of two-dimensional digital filters with overflow nonlinearities. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 45(5), 574\u2013577 (1998)","journal-title":"IEEE Trans. Circuits Syst. I Fundam. Theory Appl."},{"key":"1019_CR16","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1109\/81.269049","volume":"41","author":"D Liu","year":"1994","unstructured":"D. Liu, A.N. Michel, Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 41, 127\u2013137 (1994)","journal-title":"IEEE Trans. Circuits Syst. I Fundam. Theory Appl."},{"key":"1019_CR17","volume-title":"Two-Dimensional Digital Filters","author":"WS Lu","year":"1992","unstructured":"W.S. Lu, Two-Dimensional Digital Filters, vol. 80 (CRC Press, Boca Raton, 1992)"},{"key":"1019_CR18","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/j.sysconle.2003.09.003","volume":"51","author":"W Paszke","year":"2004","unstructured":"W. Paszke, J. Lam, K. Galkowski, S. Xu, Z. Lin, Robust stability and stabilization of 2D discrete state-delayed systems. Syst. Control Lett. 51, 277\u2013291 (2004)","journal-title":"Syst. Control Lett."},{"key":"1019_CR19","doi-asserted-by":"crossref","unstructured":"O. Rejichi, O. Bachelier, M. Chaabane, D. Mehdi, Admissibility and state feedback admissibilization of discrete singular systems: an LMI approach, in 16th Mediterranean Conference on Control and Automation 2008 (IEEE, 2008), pp. 1022\u20131027","DOI":"10.1109\/MED.2008.4602198"},{"issue":"1","key":"1019_CR20","doi-asserted-by":"publisher","first-page":"161","DOI":"10.3182\/20050703-6-CZ-1902.00971","volume":"38","author":"SM Saadni","year":"2005","unstructured":"S.M. Saadni, M. Chaabane, D. Mehdi, O. Bachelier, Robust stability and stabilization of a class of singular systems with multiple time-varying delays. IFAC Proc. Vol. 38(1), 161\u2013166 (2005)","journal-title":"IFAC Proc. Vol."},{"issue":"4","key":"1019_CR21","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1007\/s11071-013-1098-y","volume":"75","author":"HR Shaker","year":"2014","unstructured":"H.R. Shaker, F. Shaker, Lyapunov stability for continuous-time multidimensional nonlinear systems. Nonlinear Dyn. 75(4), 717\u2013724 (2014)","journal-title":"Nonlinear Dyn."},{"key":"1019_CR22","volume-title":"A Unified Algebraic Approach to Linear Control Design","author":"RE Skelton","year":"1998","unstructured":"R.E. Skelton, T. Iwasaki, K.M. Grigoriadis, A Unified Algebraic Approach to Linear Control Design (Taylor-Francis, Bristol, 1998)"},{"issue":"1","key":"1019_CR23","doi-asserted-by":"publisher","first-page":"17","DOI":"10.4236\/cs.2012.31003","volume":"3","author":"M Tiwari","year":"2012","unstructured":"M. Tiwari, A. Dhawan, A survey on the stability of 2D discrete systems described by Fornasini-Marchesini second model. Circuits Syst. 3(1), 17 (2012)","journal-title":"Circuits Syst."},{"key":"1019_CR24","doi-asserted-by":"crossref","unstructured":"L. Wang, W. Wang, W. Chen, Delay-dependent stability for 2D singular systems with state-varying delay in Roesser model: an LMI approach, in Control Conference (CCC), 2014 33rd Chinese (IEEE, 2014), pp. 6074\u20136079","DOI":"10.1109\/ChiCC.2014.6895982"},{"issue":"1","key":"1019_CR25","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/s00034-012-9464-4","volume":"32","author":"Z Xiang","year":"2013","unstructured":"Z. Xiang, S. Huang, Stability analysis and stabilization of discrete-time 2D switched systems. Circuits Syst. Signal Process. 32(1), 401\u2013414 (2013)","journal-title":"Circuits Syst. Signal Process."},{"issue":"4","key":"1019_CR26","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1080\/00207720902974728","volume":"42","author":"H Xu","year":"2011","unstructured":"H. Xu, Y. Zou, $$ {H}_{\\infty } $$ H \u221e control for 2D singular delayed systems. Int. J. Syst. Sci. 42(4), 609\u2013619 (2011)","journal-title":"Int. J. Syst. Sci."},{"issue":"4","key":"1019_CR27","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1016\/j.sysconle.2004.09.005","volume":"54","author":"H Xu","year":"2005","unstructured":"H. Xu, Y. Zou, S. Xu, J. Lam, Bounded real lemma and robust $$ {H}_{\\infty } $$ H \u221e control of 2D singular Roesser models. Syst. Control Lett. 54(4), 339\u2013346 (2005)","journal-title":"Syst. Control Lett."},{"issue":"2","key":"1019_CR28","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/S0167-6911(02)00279-7","volume":"48","author":"S Xu","year":"2003","unstructured":"S. Xu, J. Lam, $${H}_{\\infty }$$ H \u221e model reduction for discrete-time singular systems. Syst. Control Lett. 48(2), 121\u2013133 (2003)","journal-title":"Syst. Control Lett."},{"issue":"4","key":"1019_CR29","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1023\/A:1008429611994","volume":"11","author":"Y Zou","year":"2000","unstructured":"Y. Zou, S.L. Campbell, The jump behavior and stability analysis for 2D singular systems. Multidimens. Syst. Signal Process. 11(4), 339\u2013358 (2000)","journal-title":"Multidimens. Syst. Signal Process."},{"key":"1019_CR30","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s11768-004-4189-y","volume":"5","author":"Y Zou","year":"2007","unstructured":"Y. Zou, H. Xu, Duality of 2-d singular systems of Roesser models. J. Control Theory Appl. 5, 37\u201341 (2007)","journal-title":"J. Control Theory Appl."},{"issue":"2","key":"1019_CR31","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/s11045-007-0027-y","volume":"19","author":"Y Zou","year":"2008","unstructured":"Y. Zou, H. Xu, W. Wang, Stability for two-dimensional singular discrete systems described by general model. Multidimens. Syst. Signal Process. 19(2), 219\u2013229 (2008)","journal-title":"Multidimens. Syst. Signal Process."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-01019-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-01019-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-01019-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,10]],"date-time":"2022-09-10T00:15:19Z","timestamp":1662768919000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-01019-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,9]]},"references-count":31,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["1019"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-01019-4","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,9]]},"assertion":[{"value":"14 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 December 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 December 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 January 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}