title: On the question of a constructive controllability criterion. Pt I. Cyclic invariant subspaces
metadata.name: dc.contributor.author
metadata.value: Kalinina, Elizaveta A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kamachkin, Alexander M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stepenko, Nikolai A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tamasyan, Grigoriy Sh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-08-22T17:48:38Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-08-22T17:48:38Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kalinina 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.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.213
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/43835
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The 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).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: controllability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: system structure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cyclic invariant subspaces
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the question of a constructive controllability criterion. Pt I. Cyclic invariant subspaces
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 13.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/43835/1/13.pdf
resources.format: Adobe PDF
resources.size: 461,25 kB