{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T10:59:26Z","timestamp":1772794766635,"version":"3.50.1"},"reference-count":36,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2018,1,8]],"date-time":"2018-01-08T00:00:00Z","timestamp":1515369600000},"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\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573007"],"award-info":[{"award-number":["61573007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61603188"],"award-info":[{"award-number":["61603188"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6,20]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper addresses the stability and control problem of linear positive two-dimensional discrete-time systems with multiple delays in the second Fornasini\u2013Marchesini model. The contribution lies in three aspects. First, a novel proof is provided to establish necessary and sufficient conditions of asymptotic stability for positive two-dimensional delayed systems. Then, a state-feedback controller is designed to ensure the non-negativity and stability of the closed-loop systems. Finally, a sufficient condition for the existence of constrained controllers is developed under the additional constraint of bounded control, which means that the control inputs and the states of the closed-loop systems are bounded. Two examples are given to validate the proposed methods.<\/jats:p>","DOI":"10.1093\/imamci\/dnx054","type":"journal-article","created":{"date-parts":[[2017,12,13]],"date-time":"2017-12-13T12:28:01Z","timestamp":1513168081000},"page":"515-536","source":"Crossref","is-referenced-by-count":6,"title":["Stability and constrained control for positive two-dimensional systems with delays in the second FM model"],"prefix":"10.1093","volume":"36","author":[{"given":"Jian","family":"Shen","sequence":"first","affiliation":[{"name":"Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiqun","family":"Wang","sequence":"additional","affiliation":[{"name":"Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,1,8]]},"reference":[{"key":"2019122505174187300_C1","first-page":"55","article-title":"Stability tests for a class of 2D continuous-discrete linear systems with dynamic boundary conditions","volume":"75","author":"Benton","year":"2010","journal-title":"Int. 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