{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T05:33:01Z","timestamp":1774416781056,"version":"3.50.1"},"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>The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems, e.g.,Matlab. Sufficient conditions are given for nonlinear unobservability\/uncontrollability analysis. To apply these conditions, one isolates the linear part of the system which is checked to be unobservable\/uncontrollable and, if the answer is positive, it is examined whether or not existing nonlinear terms violate the unobservability\/uncontrollability property.<\/jats:p>","DOI":"10.2478\/v10006-012-0038-1","type":"journal-article","created":{"date-parts":[[2016,3,3]],"date-time":"2016-03-03T11:05:27Z","timestamp":1457003127000},"page":"507-522","source":"Crossref","is-referenced-by-count":11,"title":["An approach to the analysis of observability and controllability in nonlinear systems via linear methods"],"prefix":"10.61822","volume":"22","author":[{"given":"Alexey","family":"Zhirabok","sequence":"first","affiliation":[{"name":"Department of Automation and Control Far Eastern Federal University, Sukhanova street, 8, Vladivostok, 690990, Russia"}]},{"given":"Alexey","family":"Shumsky","sequence":"additional","affiliation":[{"name":"Department of Automation and Control Far Eastern Federal University, Sukhanova street, 8, Vladivostok, 690990, Russia"}]}],"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-p507.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/pdf\/10.2478\/v10006-012-0038-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:29:24Z","timestamp":1709202564000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.2478\/v10006-012-0038-1"}},"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\/v10006-012-0038-1"],"URL":"https:\/\/doi.org\/10.2478\/v10006-012-0038-1","relation":{},"ISSN":["2083-8492"],"issn-type":[{"value":"2083-8492","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,1]]}}}