{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,6,24]],"date-time":"2022-06-24T14:11:19Z","timestamp":1656079879805},"reference-count":19,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2021,10,2]],"date-time":"2021-10-02T00:00:00Z","timestamp":1633132800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"NWO Vidi","award":["639.032.73"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,24]]},"abstract":"Abstract<\/jats:title>\n We investigate feedback forms for linear time-invariant systems described by differential-algebraic equations. Feedback forms are representatives of certain equivalence classes. For example, state space transformations, invertible transformations from the left and proportional state feedback constitute an equivalence relation. The representative of such an equivalence class, which we call proportional feedback form for the above example, allows to read off relevant system theoretic properties. Our main contribution is to derive a quasi proportional feedback form. This form is advantageous since it provides some geometric insight and is simple to compute, but still allows to read off the relevant structural properties of the control system. We also derive a quasi proportional and derivative feedback form. Similar advantages hold.<\/jats:p>","DOI":"10.1093\/imamci\/dnab030","type":"journal-article","created":{"date-parts":[[2021,9,8]],"date-time":"2021-09-08T11:45:56Z","timestamp":1631101556000},"page":"533-563","source":"Crossref","is-referenced-by-count":0,"title":["Quasi feedback forms for differential-algebraic systems"],"prefix":"10.1093","volume":"39","author":[{"given":"Thomas","family":"Berger","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Mathematik , Universit\u00e4t Paderborn, Warburger Str. 100, 33098 Paderborn, Germany"}]},{"given":"Achim","family":"Ilchmann","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Mathematik , Technische Universit\u00e4t Ilmenau, Weimarer Stra\u00dfe 25, 98693 Ilmenau, Germany"}]},{"given":"Stephan","family":"Trenn","sequence":"additional","affiliation":[{"name":"Systems , Control and Applied Analysis \u2013 Bernoulli Institute, University of Groningen, Nijenborgh 9, 9747 AG Groningen, The Netherlands"}]}],"member":"286","published-online":{"date-parts":[[2021,10,2]]},"reference":[{"key":"2022062413512829600_ref1","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1080\/00207179.2017.1363411","article-title":"Disturbance decoupled estimation for linear differential-algebraic systems","volume":"92","author":"Berger","year":"2019","journal-title":"Int. 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