{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,26]],"date-time":"2025-05-26T07:05:28Z","timestamp":1748243128114,"version":"3.33.0"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,12,13]],"date-time":"2006-12-13T00:00:00Z","timestamp":1165968000000},"content-version":"vor","delay-in-days":5460,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A singular Roesser model is presented for a non\u2010causal<jats:italic>n<\/jats:italic>\u2010dimensional (<jats:italic>n<\/jats:italic>\u2010D) system described by an<jats:italic>n<\/jats:italic>\u2010D transfer function with non\u2010monic denominator. Transformations of the transfer function variables (inversion, multivariable bilinear transformation) have been used to transform the given polynomial to monic form. These transformations are also discussed in state\u2010space description terms. Additionally, the matrix<jats:italic>Q<\/jats:italic>which relates the coefficients vector of the transformed polynomial to that of the original one is obtained using<jats:italic>n<\/jats:italic>\u2010way matrix methods.<\/jats:p>","DOI":"10.1002\/cta.4490200105","type":"journal-article","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T02:16:23Z","timestamp":1183342583000},"page":"63-74","source":"Crossref","is-referenced-by-count":8,"title":["Transformation of the transfer function variables of the singular<i>n<\/i>\u2010dimensional roesser model"],"prefix":"10.1002","volume":"20","author":[{"given":"Krzysztof","family":"Galkowski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,12,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1980.1084865"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"T.Kaczorek Singular multidimensional linear discrete systems' Proc. IEEE Int. Symp. Circuits and Systems Helsinki June 7\u20109 105\u2013108(1988).","DOI":"10.1109\/ISCAS.1988.14878"},{"key":"e_1_2_1_4_2","first-page":"37","article-title":"Realization problem for singular 2\u2010D linear systems","volume":"37","author":"Kaczorek T.","year":"1989","journal-title":"Bull. Pol. Acad. Tech. Sci."},{"key":"e_1_2_1_5_2","first-page":"903","article-title":"On controlling generalized state\u2010space (descriptor) systems","volume":"43","author":"Lovass\u2010Nagy V.","year":"1984","journal-title":"Int. J. Control"},{"key":"e_1_2_1_6_2","unstructured":"K.Gaskowski Change of variables in transfer function of N\u2010D system' Proc. IX Natl. Conf. TOiUE Wrocsaw Szklarska Poreba Oct. 22\u201024 22\u201324(1986)."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1984.1085489"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490090205"},{"key":"e_1_2_1_9_2","unstructured":"K.Gaskowski Minimal realization of the polylinear system' Rep. Technical University of Wrocsaw I\u201028\/P\u2010056\/88 1988."},{"key":"e_1_2_1_10_2","unstructured":"S. S.KoonarandJ. S.Sohal Non\u2010minimal realization of a class of matrices of two\u2010variable functions' Proc. Int. Conf. on Computers Systems and Signal Processing Bangalore India Dec. 10\u201012 390\u2013393(1984)."},{"key":"e_1_2_1_11_2","unstructured":"M. S.Piekarski The state variable number reduction in the controller form realization of an n\u2010D transfer function' Proc. IX Natl. Conf. TOiUE Wrocsaw Szklarska Poreba Oct. 22\u201024 345\u2013350(1986)."},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(81)90167-1"},{"volume-title":"Uog\u00f3lnione Odwrotno\u015bci Macierzy","year":"1972","author":"Warmus M.","key":"e_1_2_1_13_2"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1983.12729"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.2307\/1968754"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.4490200105","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490200105","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T02:08:26Z","timestamp":1737166106000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490200105"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1002\/cta.4490200105"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490200105","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"type":"print","value":"0098-9886"},{"type":"electronic","value":"1097-007X"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}