Loading [MathJax]/jax/output/SVG/config.js
Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




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

Avtomatika i Telemekhanika, 2009, Issue 11, Pages 34–54 (Mi at552)  
This article is cited in 5 scientific papers (total in 5 papers)

Deterministic Systems

Impulsive control with impulsive actions of two types

B. M. Millerab, E. Ya. Rubinovichc

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Monash University, Melbourne, Australia
c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (231 kB) Citations (5)
References:
PDF
HTML
Abstract: Consideration was given to a nonlinear problem of optimal impulsive control with impulsive actions of two types. Impulses were constrained in power and amplitude, and the first-type impulses were additionally constrained in their total number and repetition rate. This problem was shown to be reducible to an equivalent problem with ordinary (nonimpulsive) controls to which applicable are the classical results on existence of the optimal controls and the optimality conditions in the form of the principle of maximum.
Presented by the member of Editorial Board: V. I. Gurman

Received: 30.12.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 11, Pages 1795–1813
DOI: https://doi.org/10.1134/S0005117909110046
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: B. M. Miller, E. Ya. Rubinovich, “Impulsive control with impulsive actions of two types”, Avtomat. i Telemekh., 2009, no. 11, 34–54; Autom. Remote Control, 70:11 (2009), 1795–1813
Citation in format AMSBIB
\Bibitem{MilRub09}
\by B.~M.~Miller, E.~Ya.~Rubinovich
\paper Impulsive control with impulsive actions of two types
\jour Avtomat. i Telemekh.
\yr 2009
\issue 11
\pages 34--54
\mathnet{http://mi.mathnet.ru/at552}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2641030}
\zmath{https://zbmath.org/?q=an:1187.49028}
\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 11
\pages 1795--1813
\crossref{https://doi.org/10.1134/S0005117909110046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271942900004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70849131403}
Linking options:
  • https://www.mathnet.ru/eng/at552
  • https://www.mathnet.ru/eng/at/y2009/i11/p34
    • This publication is cited in the following 5 articles:
    1. Boris Miller, Evgeny Rubinovich, Systems & Control: Foundations & Applications, Optimization of Dynamical Systems with Impulse Controls and Shocks, 2024, 107  crossref
    2. Piunovskiy A. Zhang Y., “Linear Programming Approach to Optimal Impulse Control Problems With Functional Constraints”, J. Math. Anal. Appl., 496:2 (2021), 124817  crossref  mathscinet  isi  scopus
    3. K. R. Aida-zade, Ye. R. Ashrafova, “Optimization of source locations and parameters for network structure objects”, Autom. Remote Control, 82:7 (2021), 1201–1221  mathnet  crossref  crossref  isi  elib
    4. O. N. Samsonyuk, “Invariant sets for the nonlinear impulsive control systems”, Autom. Remote Control, 76:3 (2015), 405–418  mathnet  crossref  isi  elib  elib
    5. B. M. Miller, E. Ya. Rubinovich, “Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations”, Autom. Remote Control, 74:12 (2013), 1969–2006  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:546
    Full-text PDF :162
    References:80
    First page:11
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025