{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,19]],"date-time":"2023-12-19T00:24:50Z","timestamp":1702945490962},"reference-count":33,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,8,9]],"date-time":"2023-08-09T00:00:00Z","timestamp":1691539200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"name":"Consejo Nacional de Humanidades, Ciencias y Tecnolog\u00eda de M\u00e9xico","award":["A1-S-32341"],"award-info":[{"award-number":["A1-S-32341"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,9,20]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This work aims to give a method to connect a set of polynomials having all of their zeros inside the stability zone for fractional difference systems with Caputo\u2019s fractional discrete operator. Due to the complexity of the stability zone, it is necessary to use a set that describes explicitly the stability zone for fractional-order difference systems, in order to build a polynomial family with zeros belonging to the described zone. Such a construction of the polynomial family will be based on the connection of their zeros. Moreover, the applicability is shown with the design of a robust stabilizing controller, which is illustrated by stabilizing the fractional discrete Duffing oscillator.<\/jats:p>","DOI":"10.1093\/imamci\/dnad021","type":"journal-article","created":{"date-parts":[[2023,8,9]],"date-time":"2023-08-09T18:57:31Z","timestamp":1691607451000},"page":"578-592","source":"Crossref","is-referenced-by-count":0,"title":["Caputo\u2019s fractional discrete-time stability connection for stabilizing controllers"],"prefix":"10.1093","volume":"40","author":[{"given":"Blanca L","family":"Hern\u00e1ndez-Galv\u00e1n","sequence":"first","affiliation":[{"name":"Departamento de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Tecnol\u00f3gico Nacional de M\u00e9xico \/ Instituto Tecnol\u00f3gico de Tijuana , Blvrd. Inductrial S\/N, CP 22454 Tijuana, B.C. , M\u00e9xico"}]},{"given":"Jesus R","family":"Pulido-Luna","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Tecnol\u00f3gico Nacional de M\u00e9xico \/ Instituto Tecnol\u00f3gico de Tijuana , Blvrd. Inductrial S\/N, CP 22454 Tijuana, B.C. , M\u00e9xico"}]},{"given":"Nohe R","family":"Cazarez-Castro","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Tecnol\u00f3gico Nacional de M\u00e9xico \/ Instituto Tecnol\u00f3gico de Tijuana , Blvrd. Inductrial S\/N, CP 22454 Tijuana, B.C. , M\u00e9xico"}]},{"given":"Guillermo","family":"Fern\u00e1ndez-Anaya","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica y Matem\u00e1ticas, Universidad Iberoamericana-CDMX , Prol. Paseo de la Reforma No 880, CP 01219 CDMX , M\u00e9xico"}]},{"given":"Jorge A","family":"L\u00f3pez-Renter\u00eda","sequence":"additional","affiliation":[{"name":"CONAHCYT - Tecnol\u00f3gico Nacional de M\u00e9xico, Instituto Tecnol\u00f3gico de Tijuana , Blvrd. Inductrial S\/N, CP 22454 Tijuana, B.C. , M\u00e9xico"}]}],"member":"286","published-online":{"date-parts":[[2023,8,9]]},"reference":[{"key":"2023092216582119900_ref1","doi-asserted-by":"crossref","first-page":"1602","DOI":"10.1016\/j.camwa.2011.03.036","article-title":"On Riemann and Caputo fractional differences","volume":"62","author":"AbdelJawad","year":"2011","journal-title":"Comput. Math. Appl."},{"key":"2023092216582119900_ref2","first-page":"567","article-title":"Robust stability of positive discrete\u2013time linear systems of fractional order","volume":"58","author":"Bus\u0142owicz","year":"2010","journal-title":"Bull. Pol. Acad. Sci.: Tech. 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