Conditions for the lack of the cycles of the second kind for continuous and discrete systems with cylindrical phase space

Authors

  • Vera B. Smirnova St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation; St.Petersburg State University of Architecture and Civil Engineering (SPSUACE), 2-ya Krasnoarmeiskaya ul., 4, St.Petersburg, 190005, Russian Federation;
  • Natalia V Utina St.Petersburg State University of Architecture and Civil Engineering (SPSUACE), 2-ya Krasnoarmeiskaya ul., 4, St.Petersburg, 190005, Russian Federation;
  • Alexandr I. Shepeljavyi St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation;
  • Alexey A. Perkin St.Petersburg State University of Architecture and Civil Engineering (SPSUACE), 2-ya Krasnoarmeiskaya ul., 4, St.Petersburg, 190005, Russian Federation;

Abstract

In the paper continuous and discrete systems of indirect control with periodic vector nonlinearities are considered. The paper is devoted to one of key problems of the asymptotic behavior of such systems, that is the problem of the existence of cycles in the cylindrical phase space. In the paper a number of multiparametric frequency-algebraic criteria are established, which guarantee that the system has no cycles with given frequency in the cylindrical phase space. Refs 12. Figs 1.

Keywords:

phase system, cylindrical phase space, cycle of the second kind

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Published

2014-08-01

How to Cite

Smirnova, V. B., Utina, N. V., Shepeljavyi, A. I., & Perkin, A. A. (2014). Conditions for the lack of the cycles of the second kind for continuous and discrete systems with cylindrical phase space. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(3), 380–391. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11066

Issue

Vol. 1 No. 3 (2014)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.