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Avtomatika i Telemekhanika, 2012, Issue 7, Pages 15–24 (Mi at4035)  

This article is cited in 16 scientific papers (total in 16 papers)

Linear Systems

Simultaneous stabilization of linear dynamic plants by the variable-structure controller

S. V. Emel'yanova, V. V. Fomichevb, A. S. Fursovb

a Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
References:
Abstract: Consideration was given to the design of a unique controller with state feedback stabilizing the finite family of linear dynamic plants of identical orders. It was proposed to use for that the variable-structure controllers giving rise to sliding modes in the closed-loop systems. Constructive existence conditions for a universal variable-structure stabilizer of the given finite family of dynamic plants were formulated.
Presented by the member of Editorial Board: V. Yu. Rutkovskii

Received: 30.08.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 7, Pages 1126–1133
DOI: https://doi.org/10.1134/S0005117912070028
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Emel'yanov, V. V. Fomichev, A. S. Fursov, “Simultaneous stabilization of linear dynamic plants by the variable-structure controller”, Avtomat. i Telemekh., 2012, no. 7, 15–24; Autom. Remote Control, 73:7 (2012), 1126–1133
Citation in format AMSBIB
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\paper Simultaneous stabilization of linear dynamic plants by the variable-structure controller
\jour Avtomat. i Telemekh.
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\pages 15--24
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\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 7
\pages 1126--1133
\crossref{https://doi.org/10.1134/S0005117912070028}
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Linking options:
  • https://www.mathnet.ru/eng/at4035
  • https://www.mathnet.ru/eng/at/y2012/i7/p15
  • This publication is cited in the following 16 articles:
    1. A. V. Il'in, Yu. M. Mosolova, V. V. Fomichev, A. S. Fursov, “On the Problem of Switched System Stabilization”, MoscowUniv.Comput.Math.Cybern., 48:4 (2024), 303  crossref
    2. Dmitry Makarov, Vladimir Sobolev, 2021 14th International Conference Management of large-scale system development (MLSD), 2021, 1  crossref
    3. Dastaviz A., Binazadeh T., “Simultaneous Stabilization For a Collection of Uncertain Time-Delay Systems Using Sliding-Mode Output Feedback Control”, Int. J. Control, 93:9 (2020), 2135–2144  crossref  mathscinet  isi
    4. Dastaviz A., Binazadeh T., “Simultaneous Stabilization of a Collection of Uncertain Discrete-Time Systems With Time-Varying State-Delay Via Discrete-Time Sliding Mode Control”, J. Vib. Control, 25:16 (2019), 2261–2273  crossref  mathscinet  isi  scopus
    5. V. E. Khartovskii, “Criteria for modal controllability of completely regular differential-algebraic systems with aftereffect”, Differ. Equ., 54:4 (2018), 509–524  crossref  mathscinet  zmath  isi  scopus
    6. Fursov A.S., Emel'yanov S.V., Kapalin I.V., Sagadinova E.S., “Stabilization of Multiple-Input Switched Linear Systems With Operation Modes of Different Dynamical Orders”, Differ. Equ., 54:11 (2018), 1517–1523  crossref  mathscinet  zmath  isi  scopus
    7. V. E. Khartovskii, “Modal controllability for systems of neutral type in classes of differential-difference controllers”, Autom. Remote Control, 78:11 (2017), 1941–1954  mathnet  crossref  mathscinet  isi  elib
    8. A. S. Fursov, I. V. Kapalin, H. Hongxiang, “Stabilization of multiple-input switched linear systems by a variable-structure controller”, Differ. Equ., 53:11 (2017), 1501–1511  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    9. A. V. Metel'skii, V. E. Khartovskii, “Criteria for modal controllability of linear systems of neutral type”, Differ. Equ., 52:11 (2016), 1453–1468  crossref  mathscinet  zmath  isi  scopus
    10. A. S. Fursov, I. V. Kapalin, “Stabilization of switched linear systems by a controller of variable structure”, Differ. Equ., 52:8 (2016), 1072–1084  crossref  mathscinet  zmath  isi  elib  scopus
    11. A. S. Fursov, E. F. Khusainov, “On the stabilization of switchable linear systems”, Differ. Equ., 51:11 (2015), 1518–1528  crossref  mathscinet  zmath  isi  scopus
    12. S.V. Shidlovskiy, V.I. Syryamkin, “Adaptive Structural Reconfigurable Algorithms of Control”, AMM, 756 (2015), 640  crossref
    13. A. S. Fursov, E. F. Khusainov, “Superstabilization of linear dynamic plants under operator disturbances”, Differ. Equ., 50:7 (2014), 854–865  crossref  mathscinet  zmath  isi  elib  scopus
    14. S. V. Emel'yanov, A. V. Il'in, V. V. Fomichev, A. S. Fursov, “Simultaneous stabilization of plants of various orders”, Differ. Equ., 49:5 (2013), 623–629  crossref  mathscinet  zmath  isi  elib  scopus
    15. S. I. Minyaev, A. S. Fursov, “Topological approach to the simultaneous stabilization of plants with delay”, Differ. Equ., 49:11 (2013), 1423–1431  crossref  mathscinet  zmath  isi  elib  scopus
    16. Stanislav V. Emelyanov, V.V. Fomichev, A.S. Fursov, “The Control Under Uncertainty Conditions: History and Perspective”, IFAC Proceedings Volumes, 46:9 (2013), 7  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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