{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:51Z","timestamp":1740141471372,"version":"3.37.3"},"reference-count":41,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2016,8,5]],"date-time":"2016-08-05T00:00:00Z","timestamp":1470355200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100000780","name":"European Union","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Greek national funds through the Operational Program"},{"name":"the National Strategic Reference Framework"},{"name":"Research Funding Program"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,3,16]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A new formula for the solution of discrete time auto-regressive moving average (ARMA) representations is provided. Then, the concept of reachability (also known as controllability from the origin) is examined by showcasing the reachable subspace of the system and the consistent inputs that drive the system to a desired state, taking into account the admissible initial conditions. The theory is illustrated by an example and the study of the special cases of ARMA representations, i.e. state space systems, descriptor systems and causal systems.<\/jats:p>","DOI":"10.1093\/imamci\/dnw016","type":"journal-article","created":{"date-parts":[[2016,6,29]],"date-time":"2016-06-29T18:30:08Z","timestamp":1467225008000},"page":"15-38","source":"Crossref","is-referenced-by-count":2,"title":["Reachability of discrete time ARMA representations"],"prefix":"10.1093","volume":"38","author":[{"given":"Lazaros","family":"Moysis","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Aristotle University of Thessaloniki, Thessaloniki 54124 Greece"}]},{"given":"Nicholas P","family":"Karampetakis","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Aristotle University of Thessaloniki, Thessaloniki 54124 Greece"}]}],"member":"286","published-online":{"date-parts":[[2016,8,5]]},"reference":[{"key":"2021021910174236900_B1","first-page":"555","article-title":"A spectral characterization of the behavior of discrete time AR-representations over a \ufb01nite time interval.","volume":"34","author":"Antoniou","year":"1998","journal-title":"Kybernetika"},{"key":"2021021910174236900_B2","article-title":"2nd corrected printing edition. 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