{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T18:39:45Z","timestamp":1769366385894,"version":"3.49.0"},"reference-count":34,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T00:00:00Z","timestamp":1757462400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"National Foundation for Science and Technology Development of Vietnam","award":["101.01-2021.25"],"award-info":[{"award-number":["101.01-2021.25"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>\n                    This paper focuses on the problem of\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>\u03b1<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    -exponential stability of continuous-time linear systems with both discrete and distributed time-varying delays (DT-VDs). Tractable conditions ensuring exponential convergence with prescribed\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>\u03b1<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    -decaying rate are derived using a novel asymmetric Lyapunov\u2013Krasovskii functional (A-LKF) approach. Numerical examples with simulations are presented to demonstrate the effectiveness of the obtained results.\n                  <\/jats:p>","DOI":"10.1177\/09596518251362438","type":"journal-article","created":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T12:45:42Z","timestamp":1757508342000},"page":"178-187","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["On exponential stability of continuous-time linear systems with distributed state delay: An asymmetric functional approach"],"prefix":"10.1177","volume":"240","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-5293-1501","authenticated-orcid":false,"given":"Le Huy","family":"Vu","sequence":"first","affiliation":[{"name":"Faculty of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1787-3011","authenticated-orcid":false,"given":"Le Van","family":"Hien","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam"}]},{"given":"Do Thu","family":"Phuong","sequence":"additional","affiliation":[{"name":"Faculty of Fundamental Sciences, Hanoi University of Industry, Hanoi, Vietnam"}]}],"member":"179","published-online":{"date-parts":[[2025,9,10]]},"reference":[{"key":"e_1_3_3_2_2","volume-title":"Delay effects on stability: A robust control approach","author":"Niculescu SI.","year":"2001","unstructured":"Niculescu SI. 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