title: Stabilization of some classes of uncertain control systems with evaluation of admissible disturation for object matrix
metadata.name: dc.contributor.author
metadata.value: Zuber, Irina E.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-04-14T10:48:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T10:48:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Zuber I.E. Stabilization of some classes of uncertain control systems with evaluation of admissible disturation for object matrix. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 3–10.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.101
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36149
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Consider the system x˙ = M(·)x + enu, u = sT x, where M(·) 2 Rn×n, s 2 Rn, the pair (M·), en is uniformly controlable. The elements of M(·) are nonlook-ahead functionals of arbitrary nature. The object matrix is considering in form M(·) = A(·) +D(·), where A(·) has a form of globalized Frobenious matrix, D(·) is a matrix of disturbation. Consider the square Lyapunov function V (x) with constant matrix of special form and number 
   > 0 as estimate for ˙V for case D(·) = 0. The definition of such vector s and such estimate of norm matrix D(·) that system is globally and exponentially stable are performed for every > 0.
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. Mathematics. Mechanics. Astronomy;Volume 9; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: uncertain systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: global and exponential stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the square Lyapunov function
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stabilization of some classes of uncertain control systems with evaluation of admissible disturation for object matrix
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 3-10.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36149/1/3-10.pdf
resources.format: Adobe PDF
resources.size: 273,29 kB