{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:32Z","timestamp":1740141452836,"version":"3.37.3"},"reference-count":13,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T00:00:00Z","timestamp":1558396800000},"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\/100010096","name":"Secretar\u00eda de Educaci\u00f3n P\u00fablica","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010096","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,6,6]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential-algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. The linear feedback control design proposed in this manuscript is created by application of an extended version of the conventional invariant ellipsoid method. Moreover, we also apply some specific Lyapunov-based descriptor techniques from the stability theory of continuous systems. The above combination of the modified invariant ellipsoid approach and descriptor method makes it possible to obtain the robustness of the designed control and to establish some well-known stability properties of dynamical systems under consideration. Finally, the applicability of the proposed method is illustrated by a computational example. A brief discussion on the main implementation issue is also included.<\/jats:p>","DOI":"10.1093\/imamci\/dnz015","type":"journal-article","created":{"date-parts":[[2019,4,9]],"date-time":"2019-04-09T03:13:58Z","timestamp":1554779638000},"page":"589-606","source":"Crossref","is-referenced-by-count":2,"title":["An implicit class of continuous dynamical system with data-sample outputs: a robust approach"],"prefix":"10.1093","volume":"37","author":[{"given":"Raymundo","family":"Juarez","sequence":"first","affiliation":[{"name":"Faculty of Accounting and Management, Autonomous University of Coahuila, Torreon, Coahuila, Mexico"}]},{"given":"Vadim","family":"Azhmyakov","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Universidad EAFIT, Medellin, Medellin, Antioquia, Republic of Colombia"}]},{"given":"A Tadeo","family":"Espinoza","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Sciences and Architecture, Juarez University of the State of Durango, Gomez Palacio, Durango, Mexico"}]},{"given":"Francisco G","family":"Salas","sequence":"additional","affiliation":[{"name":"Faculty of Accounting and Management, Autonomous University of Coahuila, Torreon, Coahuila, Mexico"}]}],"member":"286","published-online":{"date-parts":[[2019,5,21]]},"reference":[{"key":"2020091709242817200_ref1","first-page":"2229","article-title":"On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach","volume-title":"J. 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