{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:36:57Z","timestamp":1740141417595,"version":"3.37.3"},"reference-count":30,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T00:00:00Z","timestamp":1720051200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12371130"],"award-info":[{"award-number":["12371130"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,9,23]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper considers the feedback stability analysis of infinite-dimensional discrete-time linear time-varying systems with combined gain and phase information. The framework considers a system to be a causal linear operator described by a lower triangular infinite-dimensional complex matrix. For $r$-sectorial operators, we first derive a sufficient condition for the invertibility of $I+AB$ using the gain and phase information. Finally, we use this invertibility criterion to give a sufficient condition for feedback stability of $r$-sectorial systems.<\/jats:p>","DOI":"10.1093\/imamci\/dnae023","type":"journal-article","created":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T07:28:45Z","timestamp":1720078125000},"page":"506-519","source":"Crossref","is-referenced-by-count":0,"title":["Stability analysis of LTV systems via gain and phase"],"prefix":"10.1093","volume":"41","author":[{"given":"Na","family":"Si","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Heilongjiang University , 74 Xuefu Street, Harbin, Heilongjiang 150080 , P. R. 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