{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T14:13:59Z","timestamp":1762352039099,"version":"3.41.2"},"reference-count":29,"publisher":"Emerald","issue":"7\/8","license":[{"start":{"date-parts":[[2009,8,7]],"date-time":"2009-08-07T00:00:00Z","timestamp":1249603200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,8,7]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to study the 2D hybrid linear model, which is a method of describing both continuous\u2010 and discrete\u2010time dynamics in one system. Singularity of 2D hybrid linear models is a newly occurred problem and a very important question is how to compute the solution of the singular 2D hybrid linear model.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>Computation of the solution of mentioned system is based on Laplace transform, <jats:italic>Z<\/jats:italic>\u2010transform and shifting algorithm. The inverse Laplace transform and inverse <jats:italic>Z<\/jats:italic>\u2010transform are used in two cases.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>In this paper, a class of 2D singular hybrid linear systems is introduced. Two methods for computation of solutions of the singular hybrid system with nonzero boundary conditions are proposed. Both methods are illustrated by the examples.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>Presented methods are a new way for computing the solution of singular 2D hybrid linear systems.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910976835","type":"journal-article","created":{"date-parts":[[2009,10,5]],"date-time":"2009-10-05T10:50:32Z","timestamp":1254739832000},"page":"1079-1092","source":"Crossref","is-referenced-by-count":13,"title":["Solution of 2D singular hybrid linear system"],"prefix":"10.1108","volume":"38","author":[{"given":"Lukasz","family":"Sajewski","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022031219491361800_b1","unstructured":"Barnetts, S. (1983), Polynomials and Linear Control Systems, Dekker, New York, NY."},{"key":"key2022031219491361800_b3","doi-asserted-by":"crossref","unstructured":"Bemporad, A. and Morari, M. 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