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Russian Mathematical Surveys, 1998, Volume 53, Issue 6, Pages 1233–1293
DOI: https://doi.org/10.1070/rm1998v053n06ABEH000090
(Mi rm90)
 

This article is cited in 32 scientific papers (total in 32 papers)

Controlled random sequences: methods of convex analysis and problems with functional constraints

A. B. Piunovskiy

Institute for Physico-Technical Problems, Moscow
References:
Received: 26.12.1997
Bibliographic databases:
Document Type: Article
UDC: 512.19
Language: English
Original paper language: Russian
Citation: A. B. Piunovskiy, “Controlled random sequences: methods of convex analysis and problems with functional constraints”, Russian Math. Surveys, 53:6 (1998), 1233–1293
Citation in format AMSBIB
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\by A.~B.~Piunovskiy
\paper Controlled random sequences: methods of convex analysis and problems with functional constraints
\jour Russian Math. Surveys
\yr 1998
\vol 53
\issue 6
\pages 1233--1293
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Linking options:
  • https://www.mathnet.ru/eng/rm90
  • https://doi.org/10.1070/rm1998v053n06ABEH000090
  • https://www.mathnet.ru/eng/rm/v53/i6/p129
  • This publication is cited in the following 32 articles:
    1. Alexey Piunovskiy, Yi Zhang, “Extreme Occupation Measures in Markov Decision Processes with an Absorbing State”, SIAM J. Control Optim., 62:1 (2024), 65  crossref
    2. Serdar Yüksel, Tamer Başar, Systems & Control: Foundations & Applications, Stochastic Teams, Games, and Control under Information Constraints, 2024, 141  crossref
    3. Serdar Yüksel, Tamer Başar, Systems & Control: Foundations & Applications, Stochastic Teams, Games, and Control under Information Constraints, 2024, 185  crossref
    4. Naci Saldi, Serdar Yüksel, “Geometry of information structures, strategic measures and associated stochastic control topologies”, Probab. Surveys, 19:none (2022)  crossref
    5. Wu X., Tang Ya., “Constrained Optimality Problem of Markov Decision Processes With Borel Spaces and Varying Discount Factors”, Kybernetika, 57:2 (2021), 295–311  crossref  isi
    6. Xiao Wu, Yanqiu Tang, Mechanisms and Machine Science, 105, Proceedings of IncoME-V & CEPE Net-2020, 2021, 39  crossref
    7. Wu X., Guo X., “Convergence of Markov Decision Processes With Constraints and State-Action Dependent Discount Factors”, Sci. China-Math., 63:1 (2020), 167–182  crossref  isi
    8. Yuksel S., “A Universal Dynamic Program and Refined Existence Results For Decentralized Stochastic Control”, SIAM J. Control Optim., 58:5 (2020), 2711–2739  crossref  isi
    9. Feinberg E.A., Piunovskiy A., “Sufficiency of Deterministic Policies For Atomless Discounted and Uniformly Absorbing Mdps With Multiple Criteria”, SIAM J. Control Optim., 57:1 (2019), 163–191  crossref  mathscinet  zmath  isi  scopus
    10. Yuksel S., Saldi N., “Convex Analysis in Decentralized Stochastic Control, Strategic Measures, and Optimal Solutions”, SIAM J. Control Optim., 55:1 (2017), 1–28  crossref  mathscinet  zmath  isi  scopus
    11. Myasnikov D.V., Siemenikhin K.V., “Control of M|M|1|N queue parameters under constraints”, J. Comput. Syst. Sci. Int., 55:1 (2016), 59–78  crossref  mathscinet  zmath  isi  elib  scopus
    12. Yuksel S., Saldi N., “Strategic Measures Approach to Decentralized Stochastic Control”, 2016 54Th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Annual Allerton Conference on Communication Control and Computing, IEEE, 2016, 838–843  isi
    13. Yuksel S., Saldi N., “Convex Analysis in Decentralized Stochastic Control and Strategic Measures”, 2016 IEEE 55Th Conference on Decision and Control (Cdc), IEEE Conference on Decision and Control, IEEE, 2016, 6050–6055  isi
    14. Serdar Yuksel, Naci Saldi, 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2016, 838  crossref
    15. Serdar Yuksel, Naci Saldi, 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, 6050  crossref
    16. Xiao Wu, Xiaolong Zou, Xianping Guo, “First passage Markov decision processes with constraints and varying discount factors”, Front. Math. China, 2015  crossref  mathscinet  isi  scopus  scopus
    17. Haivoronskyy O.O., Ermoliev Yu.M., Knopov P.S., Norkin V.I., “Mathematical Modeling of Distributed Catastrophic and Terrorist Risks”, 51, no. 1, 2015, 85–95  crossref  mathscinet  zmath  isi  scopus  scopus
    18. Ilbin Lee, M.A.. Epelman, H. Edwin Romeijn, R.L.. Smith, “Extreme point characterization of constrained nonstationary infinite-horizon Markov decision processes with finite state space”, Operations Research Letters, 2014  crossref  mathscinet  isi  scopus  scopus
    19. William B. Haskell, Rahul Jain, “Stochastic Dominance-Constrained Markov Decision Processes”, SIAM J. Control Optim, 51:1 (2013), 273  crossref  mathscinet  zmath  isi  scopus  scopus
    20. Feinberg E.A., Rothblum U.G., “Splitting Randomized Stationary Policies in Total-Reward Markov Decision Processes”, Math Oper Res, 37:1 (2012), 129–153  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:122
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