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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 127–141 (Mi at2280)  

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

Topical issue

Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints

T. F. Filippova, O. G. Matviichuk

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
References:
Abstract: Methods to construct the ellipsoidal estimates of the reachability sets of a nonlinear dynamic system with scalar pulse control and uncertainty in the initial data were proposed. The considered pulse system was rearranged in the ordinary differential inclusion already without any pulse components by means of a special discontinuous time substitution. The results of the theory of ellipsoidal estimation and the theory of evolutionary equations of the multivalued states of dynamic systems under uncertainty and ellipsoidal phase constraints were used to estimate the reachability sets of the resulting nonlinear differential inclusion.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1911–1924
DOI: https://doi.org/10.1134/S000511791109013X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. F. Filippova, O. G. Matviichuk, “Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints”, Avtomat. i Telemekh., 2011, no. 9, 127–141; Autom. Remote Control, 72:9 (2011), 1911–1924
Citation in format AMSBIB
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\pages 127--141
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Linking options:
  • https://www.mathnet.ru/eng/at2280
  • https://www.mathnet.ru/eng/at/y2011/i9/p127
  • This publication is cited in the following 16 articles:
    1. Ivan Atamas, Sergey Dashkovskiy, Vitalii Slynko, “Impulsive Input-to-State Stabilization of an Ensemble”, Set-Valued Var. Anal, 31:3 (2023)  crossref
    2. Tatiana F. Filippova, “Control and estimation for a class of impulsive dynamical systems”, Ural Math. J., 5:2 (2019), 21–30  mathnet  crossref  mathscinet  zmath
    3. O. G. Matviychuk, A. R. Matviychuk, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'19, 2164, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'19, 2019, 110009  crossref
    4. Matviychuk O.G., “Estimation Techniques For Bilinear Control Systems”, IFAC PAPERSONLINE, 51:32 (2018), 877–882  crossref  isi  scopus
    5. Tatiana F. Filippova, 2018 14th International Conference “Stability and Oscillations of Nonlinear Control Systems” (Pyatnitskiy's Conference) (STAB), 2018, 1  crossref
    6. T. F. Filippova, “External estimates for reachable sets of a control system with uncertainty and combined nonlinearity”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 32–43  mathnet  crossref  crossref  isi  elib
    7. T. F. Filippova, “Otsenki mnozhestv dostizhimosti sistem s impulsnym upravleniem, neopredelennostyu i nelineinostyu”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 205–216  mathnet  crossref
    8. Mikhail I. Gusev, “An algorithm for computing boundary points of reachable sets of control systems under integral constraints”, Ural Math. J., 3:1 (2017), 44–51  mathnet  crossref  mathscinet
    9. O. G. Matviychuk, AIP Conference Proceedings, 1895, 2017, 110005  crossref
    10. Matviychuk O.G., “Internal Ellipsoidal Estimates For Bilinear Systems Under Uncertainty”, Applications of Mathematics in Engineering and Economics (AMEE'16), AIP Conference Proceedings, 1789, eds. Pasheva V., Popivanov N., Venkov G., Amer Inst Physics, 2016, UNSP 060008  crossref  isi  scopus
    11. Filippova T.F., “Estimates of Reachable Sets of Impulsive Control Problems With Special Nonlinearity”, Application of Mathematics in Technical and Natural Sciences (Amitans'16), AIP Conference Proceedings, 1773, ed. Todorov M., Amer Inst Physics, 2016, 100004  crossref  isi  scopus
    12. Tatiana F. Filippova, Oksana G. Matviychuk, “Estimates of reachable sets of control systems with bilinear-quadratic nonlinearities”, Ural Math. J., 1:1 (2015), 45–54  mathnet  crossref  zmath
    13. E. K. Kostousova, “On the polyhedral method of solving problems of control strategy synthesis”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 140–155  mathnet  crossref  mathscinet  isi  elib
    14. Matviychuk O.G., “Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems”, Applications of Mathematics in Engineering and Economics (AMEE'14), AIP Conference Proceedings, 1631, eds. Venkov G., Pasheva V., Amer Inst Physics, 2014, 238–244  crossref  isi  scopus
    15. Matviychuk O.G., “Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems Under Ellipsoidal State Bounds and With Cone Constraint on the Control”, Large-Scale Scientific Computing, Lssc 2013, Lecture Notes in Computer Science, 8353, eds. Lirkov I., Margenov S., Wasniewski J., Springer-Verlag Berlin, 2014, 125–132  crossref  mathscinet  isi  scopus
    16. Matviychuk O.G., “Estimation Problem for Impulsive Control Systems Under Ellipsoidal State Bounds and with Cone Constraint on the Control”, Applications of Mathematics in Engineering and Economics (AMEE'12), AIP Conference Proceedings, 1497, eds. Pasheva V., Venkov G., Amer Inst Physics, 2012, 3–12  crossref  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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