{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T15:42:14Z","timestamp":1778686934208,"version":"3.51.4"},"reference-count":0,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"3","license":[{"start":{"date-parts":[[2012,9,1]],"date-time":"2012-09-01T00:00:00Z","timestamp":1346457600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.<\/jats:p>","DOI":"10.2478\/v10006-012-0040-7","type":"journal-article","created":{"date-parts":[[2016,3,3]],"date-time":"2016-03-03T11:05:27Z","timestamp":1457003127000},"page":"533-538","source":"Crossref","is-referenced-by-count":49,"title":["Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains"],"prefix":"10.61822","volume":"22","author":[{"given":"Piotr","family":"Ostalczyk","sequence":"first","affiliation":[{"name":"Institute of Applied Computer Science \u0141\u00f3d\u017a University of Technology, ul. Stefanowskiego 18\/22, 90-924 \u0141\u00f3d\u017a, Poland"}]}],"member":"37438","published-online":{"date-parts":[[2012,9,28]]},"container-title":["International Journal of Applied Mathematics and Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/amcs\/22\/3\/article-p533.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/pdf\/10.2478\/v10006-012-0040-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:29:18Z","timestamp":1709202558000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.2478\/v10006-012-0040-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9,1]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2012,9,28]]},"published-print":{"date-parts":[[2012,9,1]]}},"alternative-id":["10.2478\/v10006-012-0040-7"],"URL":"https:\/\/doi.org\/10.2478\/v10006-012-0040-7","relation":{},"ISSN":["2083-8492"],"issn-type":[{"value":"2083-8492","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,1]]}}}