Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 146–155 (Mi tm770)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Solution of the Trajectory Survival Problem for a Nonlinear Dynamical System

L. N. Luk'yanova

M. V. Lomonosov Moscow State University
Full-text PDF (203 kB) Citations (1)
References:
PDF
HTML
Abstract: Nonlinear control systems possessing the flatness property are encountered in many applied mathematical models. In this paper, a trajectory survival problem is considered for a specific nonlinear system that possesses the above property. A method based on the properties of the system is proposed for constructing a control that solves the trajectory survival problem when the controlled object moves to the goal set within a bounding set containing an obstacle. Results of numerical calculations of the control and the trajectory of a system with a given initial position are presented.
Received in April 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 139–148
DOI: https://doi.org/10.1134/S0081543808030115
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: L. N. Luk'yanova, “On the Solution of the Trajectory Survival Problem for a Nonlinear Dynamical System”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 146–155; Proc. Steklov Inst. Math., 262 (2008), 139–148
Citation in format AMSBIB
\Bibitem{Luk08}
\by L.~N.~Luk'yanova
\paper On the Solution of the Trajectory Survival Problem for a~Nonlinear Dynamical System
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 262
\pages 146--155
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2489732}
\zmath{https://zbmath.org/?q=an:1152.93031}
\elib{https://elibrary.ru/item.asp?id=11622619}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2008
\vol 262
\pages 139--148
\crossref{https://doi.org/10.1134/S0081543808030115}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262228000010}
\elib{https://elibrary.ru/item.asp?id=13586058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-53849108458}
Linking options:
  • https://www.mathnet.ru/eng/tm770
  • https://www.mathnet.ru/eng/tm/v262/p146
    • This publication is cited in the following 1 articles:
    1. Avetisyan V.V., Chakhmakhchyan R.E., “Control and optimization in a collision avoidance problem in oscillating systems”, J. Comput. Syst. Sci. Int., 55:2 (2016), 163–178  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:416
    Full-text PDF :103
    References:109
    First page:19
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025