1. DSpace at Saint Petersburg State University
  2. St.PETERSBURG UNIVERSITY ACADEMIC PRESS
  3. ACADEMIC JOURNALS
  4. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
  5. 2019
  6. Issue 4
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://hdl.handle.net/11701/16739
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dc.contributor.authorShiriaev, Anton S.-
dc.contributor.authorKhusainov, Ramil R.-
dc.contributor.authorMamedov, Shamil N.-
dc.contributor.authorGusev, Sergey V.-
dc.contributor.authorKuznetsov, Nikolay V.-
dc.date.accessioned2019-12-06T11:12:45Z-
dc.date.available2019-12-06T11:12:45Z-
dc.date.issued2019-12-
dc.identifier.citationShiriaev A. S., Khusainov R.R., Mamedov Sh.N., Gusev S.V., Kuznetsov N.V. On Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stability. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 4, pp. 544–554.en_GB
dc.identifier.otherhttps://doi.org/10.21638/11701/spbu01.2019.402-
dc.identifier.urihttp://hdl.handle.net/11701/16739-
dc.description.abstractThe paper is focused on a comprehensive discussion of one of results of Prof. G. A. Leonov aimed at analysis of Zhukovsky stability of a solution of a nonlinear autonomous system by linearization. The main contribution is in deriving a linear system that approximates dynamics of the original nonlinear systems transverse to the vector-flow on a nominal behavior. As illustrated, such a linear comparison system becomes instrumental in analysis and re-design of classical feedback controllers developed earlier for stabilization of motions of nonlinear mechanical systems.en_GB
dc.description.sponsorshipThe work is supported by RFBR (grant N 18-38-20186\18) and the Leading Scientific Schools of Russia (grant NSh-2858.2018.1).en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 4-
dc.subjectmoving Poincar´e sectionen_GB
dc.subjectZhukovsky stabilityen_GB
dc.subjecttransverse linearizationen_GB
dc.titleOn Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stabilityen_GB
dc.typeArticleen_GB
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