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Khrustalev, Mikhail Mikhailovich
(1938–2023)

Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 26
Presentations: 4

Number of views:
This page:1050
Abstract pages:6086
Full texts:1718
References:625
Professor
Doctor of physico-mathematical sciences
Birth date: 2.05.1938
Website: https://www.ipu.ru/node/31188
   
Main publications:
  • Metody teorii invariantnosti v zadachakh sinteza zakonov terminalnogo upravleniya letatelnymi apparatami : Ucheb. posobie / M. M. Khrustalev; Mosk. aviats. in-t im. Sergo Ordzhonikidze. - M. : MAI, 1987. - 48,[2] s. : il.;
  • Primenenie analiticheskikh metodov v zadachakh analiza i sinteza sistem : Ucheb. posobie po kursu "Teoriya upr." / K.A. Abgaryan, M.M. Khrustalev, E.B. Zhirnova. - Moskva : MAI, 1978. - 82 s. : il.
  • Upravlyaemost i nablyudaemost lineinykh sistem : Ucheb. posobie po kursu "Teoriya upr." / K.A. Abgaryan, M.M. Khrustalev, E.B. Zhirnova ; M-vo vyssh. i sred. spets. obrazovaniya SSSR. Mosk. aviats. in-t im. Sergo Ordzhonikidze. [MAI]. - Moskva : MAI, 1977. - 78 s. : il.; 21 sm.

https://www.mathnet.ru/eng/person105306
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/254435
https://elibrary.ru/author_items.asp?authorid=6697

Publications in Math-Net.Ru Citations
2024
1. M. M. Khrustalev, D. S. Rumyantsev, “Synthesis of Ito’s equations for a shaping filter with a given spectrum”, Avtomat. i Telemekh., 2024, no. 7,  61–72  mathnet
2023
2. M. M. Khrustalev, K. A. Tsarkov, “Sequential improvement method in probabilistic criteria optimization problems for linear-in-state jump diffusion systems”, Avtomat. i Telemekh., 2023, no. 6,  100–121  mathnet; Autom. Remote Control, 84:6 (2023), 709–725
2022
3. M. M. Khrustalev, K. A. Tsarkov, “Optimization of stochastic jump diffusion systems nonlinear in the control”, Avtomat. i Telemekh., 2022, no. 9,  128–149  mathnet; Autom. Remote Control, 83:9 (2022), 1433–1451 2
2021
4. M. M. Khrustalev, K. A. Tsarkov, “Some algorithms for the improvement of time-varying controllers on an infinite time horizon”, Avtomat. i Telemekh., 2021, no. 12,  73–89  mathnet; Autom. Remote Control, 82:12 (2021), 2097–2111  isi  scopus
2020
5. M. M. Khrustalev, K. A. Tsarkov, “Sufficient conditions for terminal invariance of stochastic jump diffusion systems”, Avtomat. i Telemekh., 2020, no. 11,  155–173  mathnet  elib; Autom. Remote Control, 81:11 (2020), 2062–2077  isi  scopus 2
6. M. M. Khrustalev, “Terminal invariance of quasi-linear stochastic diffusion systems that are nonlinear in control variable”, Avtomat. i Telemekh., 2020, no. 10,  118–136  mathnet  elib; Autom. Remote Control, 81:10 (2020), 1840–1855  isi  scopus
7. M. M. Khrustalev, K. A. Tsarkov, “Terminal invariance of jump diffusions”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  108–111  mathnet  zmath  elib; Dokl. Math., 102:1 (2020), 353–355 2
2019
8. M. M. Khrustalev, E. E. Onegin, “Necessary and sufficient conditions for optimal stabilization of quasi-linear stochastic systems”, Avtomat. i Telemekh., 2019, no. 7,  89–104  mathnet  elib; Autom. Remote Control, 80:7 (2019), 1252–1264  isi  scopus 4
2018
9. M. M. Khrustalev, K. A. Tsarkov, “Sufficient relative minimum conditions in the optimal control problem for quasilinear stochastic systems”, Avtomat. i Telemekh., 2018, no. 12,  83–102  mathnet  elib; Autom. Remote Control, 79:12 (2018), 2169–2185  isi  scopus 5
10. M. M. Khrustalev, “Terminal invariance of stochastic diffusion systems”, Avtomat. i Telemekh., 2018, no. 8,  81–100  mathnet  elib; Autom. Remote Control, 79:8 (2018), 1434–1449  isi  scopus 7
2017
11. M. M. Khrustalev, D. S. Rumyantsev, K. A. Tsar'kov, “Optimization of quasilinear stochastic control-nonlinear diffusion systems”, Avtomat. i Telemekh., 2017, no. 6,  84–105  mathnet  elib; Autom. Remote Control, 78:6 (2017), 1028–1045  isi  scopus 16
12. V. I. Gurman, M. M. Khrustalev, “Abnormality in the theory of necessary optimality conditions”, Bulletin of Irkutsk State University. Series Mathematics, 19 (2017),  44–61  mathnet
2015
13. M. M. Khrustalev, E. E. Onegin, “Analytical design of controllers for quasi-linear systems on the infinite time interval”, Program Systems: Theory and Applications, 6:2 (2015),  29–44  mathnet 1
2014
14. M. M. Khrustalev, A. S. Khalina, “Optimal controller synthesis for linear stochastic systems with incomplete information regarding the state. Necessary conditions and numerical methods”, Avtomat. i Telemekh., 2014, no. 11,  70–87  mathnet; Autom. Remote Control, 75:11 (2014), 1948–1963  isi  scopus 3
2011
15. M. M. Khrustalev, “Optimal and stable controllable stochastic systems synthesis with incomplete state information on an unbounded time interval”, Avtomat. i Telemekh., 2011, no. 11,  174–190  mathnet  mathscinet  zmath; Autom. Remote Control, 72:11 (2011), 2379–2394  isi  scopus 3
16. M. M. Khrustalev, D. S. Rumyantsev, “Optimizing quasilinear stochastic dynamical systems with complex structure”, Avtomat. i Telemekh., 2011, no. 10,  154–169  mathnet  mathscinet  zmath; Autom. Remote Control, 72:10 (2011), 2147–2160  isi  scopus 7
2005
17. A. N. Vashchekin, M. M. Khrustalëv, “Studying stability of the econometric model of nonantagonistic game of the wholesale market subjects”, Avtomat. i Telemekh., 2005, no. 10,  161–174  mathnet  mathscinet  zmath; Autom. Remote Control, 66:10 (2005), 1677–1689  scopus 5
1991
18. S. V. Savastyuk, M. M. Khrustalev, “Optimization of stochastic systems of diffusion type with constraints on the control-observation process. II. Necessary conditions for optimality”, Avtomat. i Telemekh., 1991, no. 8,  94–101  mathnet  mathscinet  zmath; Autom. Remote Control, 52:8 (1991), 1109–1114 3
19. S. V. Savastyuk, M. M. Khrustalev, “Optimization of stochastic systems of diffusion type with constraints on the control-observation process. I. Sufficient conditions for optimality”, Avtomat. i Telemekh., 1991, no. 7,  89–96  mathnet  mathscinet  zmath; Autom. Remote Control, 52:7 (1991), 958–963 3
1990
20. M. M. Khrustalev, S. V. Savastyuk, “Conditions for the optimality of stochastic systems of diffusion type in problems with constraints on the control-observation process”, Dokl. Akad. Nauk SSSR, 311:2 (1990),  291–295  mathnet  mathscinet  zmath; Dokl. Math., 41:2 (1990), 256–260
1988
21. M. M. Khrustalev, “Precise description of reachability sets and conditions for global optimality of dynamic systems. II. Global optimality conditions”, Avtomat. i Telemekh., 1988, no. 7,  70–80  mathnet  mathscinet; Autom. Remote Control, 49:7 (1988), 874–881 8
22. M. M. Khrustalev, “Accurate description of reachable sets and conditions of global optimality for dynamic systems. I. Estimates and accurate description of reachable and controllable sets”, Avtomat. i Telemekh., 1988, no. 5,  62–70  mathnet  mathscinet  zmath; Autom. Remote Control, 49:5 (1988), 597–604 15
1980
23. E. V. Danilina, I. V. Rasina, M. M. Khrustalev, “Local design of optimal control for digital systems”, Avtomat. i Telemekh., 1980, no. 5,  48–56  mathnet  mathscinet  zmath; Autom. Remote Control, 41:5 (1980), 627–634
1978
24. M. M. Khrustalev, “Necessary and sufficient optimality conditions in the form of Bellman's equation”, Dokl. Akad. Nauk SSSR, 242:5 (1978),  1023–1026  mathnet  mathscinet  zmath 4
1973
25. M. M. Khrustalev, “Necessary and sufficient conditions for an optimal control problem”, Dokl. Akad. Nauk SSSR, 211:1 (1973),  59–62  mathnet  mathscinet  zmath
1967
26. M. M. Khrustalev, “Sufficient conditions for an absolute minimum”, Dokl. Akad. Nauk SSSR, 174:5 (1967),  1026–1029  mathnet  mathscinet  zmath

2022
27. M. M. Khrustalev, “On the 90th anniversary of V.F. Krotov birth”, Avtomat. i Telemekh., 2022, no. 5,  164–168  mathnet
2016
28. S. M. Abramov, A. O. Blinov, S. N. Vassilyev, I. S. Guseva, E. V. Danilina, M. G. Dmitriev, S. V. Znamenskii, G. Konstantinov, N. E. Kul'baka, G. Osipov, Yu. S. Popkov, I. V. Rasina, E. V. Ryumina, G. V. Sidorenko, O. V. Fes'ko, M. M. Khrustalev, A. M. Tsirlin, “In memory of Professor Vladimir Iosifovich Gurman”, Program Systems: Theory and Applications, 7:3 (2016),  109–132  mathnet
2003
29. A. N. Vashchekin, M. M. Khrustalev, “A Nonantagonistic Game in the Problem of Modeling of the Commercial Activity of Wholesale Enterprises”, Avtomat. i Telemekh., 2003, no. 7,  64–76  mathnet  zmath; Autom. Remote Control, 64:7 (2003), 1074–1085  isi  scopus 5

Presentations in Math-Net.Ru
1. Terminal invariance of deterministic and stochastic dynamical systems (part 2)
M. M. Khrustalev
Optimization and nonlinear analysis
March 17, 2022 13:00   
2. Terminal invariance of deterministic and stochastic dynamical systems (part 1)
M. M. Khrustalev
Optimization and nonlinear analysis
March 3, 2022 13:00   
3. Терминальная инвариантность детерминированных и стохастических динамических систем (часть 2)
M. M. Khrustalev
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 18, 2020 11:30
4. Терминальная инвариантность детерминированных и стохастических динамических систем
M. M. Khrustalev
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 11, 2020 11:30

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