title: Method for the transformation of complex automatic control systems to integrable form
metadata.name: dc.contributor.author
metadata.value: Kamachkin, Аlexander M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Рotaрov, Dmitriy K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yevstafyeva, Victoria V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-14T14:56:53Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-14T14:56:53Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Кamachkin А. M., Рotapov D. К., Yevstafyeva V. V. Method for the transformation of complex automatic control systems to integrable form. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 196-212.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.209
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29871
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers a class of automatic control systems that is described by a multi- dimensional system of ordinary dil'erential equations. The right hand-side of the system additively contains a linear part and the product of a control matrix by a vector that is the sum of a control vector and an external perturbation vector. The control vector is defined by a nonlinear function dependent on the product of a feedback matrix by a vector of current coordinates. The authors solve the problem of constructing a matrix of a nonsingular transformation, which leads the matrix of the linear part of the system to the Jordan normal form or the first natural normal form. The variables included in this transformation allow us to vary the system settings, which are the parameters of both the control matrix and the feedback matrix, as well as to convert the system to an integrable form. Integrable form is understood as a form in which the system can be integrated in a final form or reduced to a set of subsystems of lower orders. Furthermore, the sum of the subsystem orders is equal to the order of the original system. In the article, particular attention is paid to cases when the matrix of the linear part has complex conjugate eigenvalues, including multiple ones.
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 17; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: automatic control system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multidimensional nonlinear dynamic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonsingular transformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Jordan's normal matrix form
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: first natural normal matrix form
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: a system's integrable form
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Method for the transformation of complex automatic control systems to integrable form
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 196-212.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29871/1/196-212.pdf
resources.format: Adobe PDF
resources.size: 401,29 kB