1. DSpace at Saint Petersburg State University
  2. St.PETERSBURG UNIVERSITY ACADEMIC PRESS
  3. ACADEMIC JOURNALS
  4. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes
  5. 2023
  6. Issue 2
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://hdl.handle.net/11701/43835
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dc.contributor.authorKalinina, Elizaveta A.-
dc.contributor.authorKamachkin, Alexander M.-
dc.contributor.authorStepenko, Nikolai A.-
dc.contributor.authorTamasyan, Grigoriy Sh.-
dc.date.accessioned2023-08-22T17:48:38Z-
dc.date.available2023-08-22T17:48:38Z-
dc.date.issued2023-06-
dc.identifier.citationKalinina E. A., Kamachkin A. M., Stepenko N. A., Tamasyan G. Sh. On the question of a constructive controllability criterion. Pt I. Cyclic invariant subspaces. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 2, pp. 283–299.en_GB
dc.identifier.otherhttps://doi.org/10.21638/11701/spbu10.2023.213-
dc.identifier.urihttp://hdl.handle.net/11701/43835-
dc.description.abstractThe rank of the Kalman’s controllability matrix of linear systems depends on the bases of the invariant cyclic subspaces of the state matrix generated by the columns of the input matrix. The case of the Jordan form of the state matrix and scalar control is studied in detail. It is shown that the dimension of cyclic subspaces is determined by the index numbers of the first non-zero elements of the coordinate blocks of the columns of the input matrix. The formation of the bases of these subspaces is completely disclosed. Based on this, the basis of the space of a constructive control system is constructed.en_GB
dc.description.sponsorshipThe results of Section 4 were obtained in the Institute of Problems of Mechanical Engineering, Russian Academy of Sciences with the support of the Russian Science Foundation (project N 20-71-10032).en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 2-
dc.subjectcontrollabilityen_GB
dc.subjectsystem structureen_GB
dc.subjectcyclic invariant subspacesen_GB
dc.titleOn the question of a constructive controllability criterion. Pt I. Cyclic invariant subspacesen_GB
dc.typeArticleen_GB
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