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Doklady Akademii Nauk SSSR, 1962, Volume 143, Number 6, Pages 1243–1245 (Mi dan26386)  

This article is cited in 17 scientific papers (total in 17 papers)

MATHEMATICS

On sliding optimal states

R. V. Gamkrelidze

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Presented: L. S. Pontryagin
Received: 06.12.1961
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. V. Gamkrelidze, “On sliding optimal states”, Dokl. Akad. Nauk SSSR, 143:6 (1962), 1243–1245
Citation in format AMSBIB
\Bibitem{Gam62}
\by R.~V.~Gamkrelidze
\paper On sliding optimal states
\jour Dokl. Akad. Nauk SSSR
\yr 1962
\vol 143
\issue 6
\pages 1243--1245
\mathnet{http://mi.mathnet.ru/dan26386}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0137904}
\zmath{https://zbmath.org/?q=an:0131.32402}
Linking options:
  • https://www.mathnet.ru/eng/dan26386
  • https://www.mathnet.ru/eng/dan/v143/i6/p1243
  • This publication is cited in the following 17 articles:
    1. A. V. Dmitruk, “Variations of v-change of time in an optimal control problem with state and mixed constraints”, Izv. Math., 87:4 (2023), 726–767  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and Second-Order Necessary Conditions for Local Infimum Trajectories in Optimal Control”, Proc. Steklov Inst. Math., 321 (2023), 1–23  mathnet  crossref  crossref
    3. E. R. Avakov, G. G. Magaril-Il'yaev, “Gamkrelidze Convexification and Bogolyubov's Theorem”, Math. Notes, 107:4 (2020), 539–551  mathnet  crossref  crossref  isi  elib
    4. E. R. Avakov, G. G. Magaril-Il'yaev, “Relaxation and controllability in optimal control problems”, Sb. Math., 208:5 (2017), 585–619  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. A. D. Ioffe, “On necessary conditions for a minimum”, J. Math. Sci., 217:6 (2016), 751–772  mathnet  crossref  mathscinet
    6. A. V. Dmitruk, N. P. Osmolovskii, “On the proof of Pontryagin's maximum principle by means of needle variations”, J. Math. Sci., 218:5 (2016), 581–598  mathnet  crossref  mathscinet
    7. 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
    8. S. M. Aseev, K. O. Besov, A. V. Kryazhimskiy, “Infinite-horizon optimal control problems in economics”, Russian Math. Surveys, 67:2 (2012), 195–253  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. A. V. Dmitruk, “Approximation Theorem for a Nonlinear Control System with Sliding Modes”, Proc. Steklov Inst. Math., 256 (2007), 92–104  mathnet  crossref  mathscinet  zmath  elib  elib
    10. V. I. Gurman, Ni Ming Kang, M. Yu. Ukhin, “Practical control optimization schemes based on the extension principle”, Autom. Remote Control, 67:4 (2006), 538–551  mathnet  crossref  mathscinet  zmath
    11. S. Ya. Serovaǐskiǐ, “Lower augmentation and extension of extremal problems”, Russian Math. (Iz. VUZ), 47:5 (2003), 28–38  mathnet  mathscinet  zmath
    12. F. V. Guseinov, “On the question of extension of multidimensional variational problems”, Math. USSR-Izv., 28:1 (1987), 1–19  mathnet  crossref  mathscinet  zmath
    13. A. V. Dmitruk, “Application of sliding mode method to optimal control problems with mixed constraints”, Funct. Anal. Appl., 10:3 (1976), 197–201  mathnet  crossref  mathscinet  zmath
    14. V. G. Boltyanskii, “The method of tents in the theory of extremal problems”, Russian Math. Surveys, 30:3 (1975), 1–54  mathnet  crossref  mathscinet  zmath
    15. V. I. Arkin, V. L. Levin, “Convexity of values of vector integrals, theorems on measurable choice and variational problems”, Russian Math. Surveys, 27:3 (1972), 21–85  mathnet  crossref  mathscinet  zmath
    16. R. V. Gamkrelidze, G. L. Kharatishvili, “Extremal problems in linear topological spaces”, Math. USSR-Izv., 3:4 (1969), 737–794  mathnet  crossref  mathscinet  zmath
    17. A. D. Ioffe, V. M. Tikhomirov, “Duality of convex functions and extremum problems”, Russian Math. Surveys, 23:6 (1968), 53–124  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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