{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T23:29:50Z","timestamp":1762298990029},"reference-count":71,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"1","license":[{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,3,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts regarding the output-memory observability of non-linear fractional-order discrete-time systems are developed. A rank criterion for output-memory observability is derived. Second, a dead-beat observer which recovers exactly the true state system from the knowledge of a finite number of delayed inputs and delayed outputs is proposed. The case of the presence of an unknown input is also studied. Third, secure data communication based on a generalized fractional-order H\u00e9non map is proposed. Numerical simulations and application to secure speech communication are presented to show the efficiency of the proposed approach.<\/jats:p>","DOI":"10.2478\/amcs-2019-0014","type":"journal-article","created":{"date-parts":[[2019,4,1]],"date-time":"2019-04-01T17:30:51Z","timestamp":1554139851000},"page":"179-194","source":"Crossref","is-referenced-by-count":16,"title":["Synchronization of fractional\u2013order discrete\u2013time chaotic systems by an exact delayed state reconstructor: Application to secure communication"],"prefix":"10.61822","volume":"29","author":[{"given":"Said","family":"Djennoune","sequence":"first","affiliation":[{"name":"Laboratory of Design and Conduct of Production Systems , Mouloud Mammeri University , BP 17 RP 15000 , Tizi-Ouzou , Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maamar","family":"Bettayeb","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering , University of Sharjah , PO Box 27272 , Sharjah , United Arab Emirates"},{"name":"Center of Excellence in Intelligent Engineering Systems (CEIES) , King Abdulaziz University , Al Ehtifalat St, 21589 , Jeddah , Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ubaid Muhsen","family":"Al-Saggaf","sequence":"additional","affiliation":[{"name":"Electrical and Computer Engineering Department , King Abdulaziz University , Al Ehtifalat St, 21589 , Jeddah , Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"37438","published-online":{"date-parts":[[2019,3,29]]},"reference":[{"key":"2023050302350842564_j_amcs-2019-0014_ref_001_w2aab3b7c13b1b6b1ab1ab1Aa","unstructured":"Abdeljawad, T. and Baleanu, D. 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