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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2005, Volume 11, Number 1, Pages 65–73 (Mi timm170)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical construction of attainability domains for systems with impulse control

O. I. Vdovina, A. N. Sesekin
Full-text PDF (302 kB) Citations (3)
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Abstract: A numerical algorithm is suggested for constructing the attainability set of a nonlinear control system with an impulse integrally bounded control that is included in the system linearly. The algorithm is based on the approximation of admissible controls by linear combinations of Dirac delta-functions and discretization of the space of positions of the system. An estimate of accuracy of the suggested algorithm is obtained. An illustrative example is given.
Received: 15.04.2004
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: Russian
Citation: O. I. Vdovina, A. N. Sesekin, “Numerical construction of attainability domains for systems with impulse control”, Dynamical systems and control problems, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 1, 2005, 65–73; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S246–S255
Citation in format AMSBIB
\Bibitem{VdoSes05}
\by O.~I.~Vdovina, A.~N.~Sesekin
\paper Numerical construction of attainability domains for systems with impulse control
\inbook Dynamical systems and control problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 1
\pages 65--73
\mathnet{http://mi.mathnet.ru/timm170}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157143}
\zmath{https://zbmath.org/?q=an:1124.93008}
\elib{https://elibrary.ru/item.asp?id=12040685}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 1
\pages S246--S255
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  • https://www.mathnet.ru/eng/timm170
  • https://www.mathnet.ru/eng/timm/v11/i1/p65
    • This publication is cited in the following 3 articles:
    1. Kostousova E.K., “State Estimates of Bilinear Discrete-Time Systems With Integral Constraints Through Polyhedral Techniques”, IFAC PAPERSONLINE, 51:32 (2018), 245–250  crossref  isi
    2. A. Guseiin, N. Guseiin, Kh. G. Guseinov, “Approksimatsiya sechenii mnozhestva traektorii upravlyaemoi sistemy s ogranichennymi resursami upravlenii”, Tr. IMM UrO RAN, 23:1 (2017), 116–127  mathnet  crossref  elib
    3. N. Guseiin, A. Guseiin, Kh. G. Guseinov, “Approksimatsiya mnozhestva traektorii upravlyaemoi sistemy, opisyvaemoi integralnym uravneniem Urysona”, Tr. IMM UrO RAN, 21, no. 2, 2015, 59–72  mathnet  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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