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Gusev, Mikhail Ivanovich
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 33

Number of views:
This page:7423
Abstract pages:24076
Full texts:8408
Senior Researcher
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person47921
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/211814
https://elibrary.ru/author_items.asp?spin=3629-1337
https://orcid.org/0000-0003-1568-6669
https://www.webofscience.com/wos/author/record/R-3582-2016

Publications in Math-Net.Ru Citations
2025
1. M. I. Gusev, “On smoothness of the boundary of a reachable set under integral control constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  81–93  mathnet  elib 2
2. Mikhail I. Gusev, “Asymptotic behavior of reachable sets with $L_p$-bounded controls”, Ural Math. J., 11:2 (2025),  128–143  mathnet  elib 2
2024
3. M. I. Gusev, “On some properties of reachable sets for nonlinear systems with control constraints in $L_p$”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  99–112  mathnet  elib; Proc. Steklov Inst. Math., 327: suppl. 1 (2024), S124–S137  isi  scopus 4
2023
4. Mikhail I. Gusev, “Computing the reachable set bounda for an abstract control system: revisited”, Ural Math. J., 9:2 (2023),  99–108  mathnet  elib 5
2022
5. M. I. Gusev, I. O. Osipov, “On a local synthesis problem for nonlinear systems with integral constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:2 (2022),  171–186  mathnet  mathscinet 3
2021
6. M. I. Gusev, “On the Method of Penalty Functions for Control Systems with State Constraints under Integral Constraints on the Control”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  59–70  mathnet  elib; Proc. Steklov Inst. Math., 317: suppl. 1 (2022), S98–S108  isi  scopus 2
2020
7. M. I. Gusev, “Asymptotic behavior of small-time reachable sets of nonlinear systems with isoperimetric constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  89–101  mathnet  elib 1
8. Mikhail I. Gusev, “The limits of applicability of the linearization method in calculating small-time reachable sets”, Ural Math. J., 6:1 (2020),  71–83  mathnet  mathscinet  zmath  elib  scopus 3
2019
9. M. I. Gusev, I. O. Osipov, “Asymptotic Behavior of Reachable Sets on Small Time Intervals”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  86–99  mathnet  elib; Proc. Steklov Inst. Math., 309: suppl. 1 (2020), S52–S64  isi  scopus 10
2018
10. M. I. Gusev, I. V. Zykov, “On the geometry of reachable sets for control systems with isoperimetric constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  63–75  mathnet  elib; Proc. Steklov Inst. Math., 304: suppl. 1 (2019), S76–S87  isi  scopus 5
2017
11. M. I. Gusev, I. V. Zykov, “On extremal properties of the boundary points of reachable sets for control systems with integral constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  103–115  mathnet  elib; Proc. Steklov Inst. Math., 300: suppl. 1 (2018), S114–S125  isi  scopus 31
12. Mikhail I. Gusev, “An algorithm for computing boundary points of reachable sets of control systems under integral constraints”, Ural Math. J., 3:1 (2017),  44–51  mathnet  mathscinet  elib 3
2016
13. M. I. Gusev, “On the existence of a Lipschitz feedback control in a control problem with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  122–128  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 299: suppl. 1 (2017), S61–S67  isi  scopus
14. Mikhail I. Gusev, Igor V. Zykov, “A numerical method for solving linear-quadratic control problems with constraints”, Ural Math. J., 2:2 (2016),  108–116  mathnet  zmath  elib 3
2015
15. M. I. Gusev, “On the attainability problem under state constraints with piecewise smooth boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  50–58  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293: suppl. 1 (2016), S66–S74  isi  scopus 3
2014
16. M. I. Gusev, “On elimination of state constraints in the construction of reachable sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  106–115  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 292: suppl. 1 (2016), S115–S124  isi  scopus 2
2013
17. M. I. Gusev, “Internal approximations of reachable sets of control systems with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  73–88  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 287: suppl. 1 (2014), S77–S92  isi  scopus 15
18. M. I. Gusev, “On the penalty function method in the problem of constructing reachable sets for control systems with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  81–86  mathnet  mathscinet  elib 4
2012
19. M. I. Gusev, “External estimates of the reachability sets of nonlinear controlled systems”, Avtomat. i Telemekh., 2012, no. 3,  39–51  mathnet; Autom. Remote Control, 73:3 (2012), 450–461  isi  scopus 20
20. M. I. Gusev, “Dynamic programming method in construction of reachable sets for nonlinear control systems”, Izv. IMI UdGU, 2012, no. 1(39),  42–43  mathnet
2011
21. M. I. Gusev, “On external estimates for reachable sets of nonlinear control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  60–69  mathnet  elib; Proc. Steklov Inst. Math., 275: suppl. 1 (2011), S57–S67  isi  scopus 8
2009
22. M. I. Gusev, “Estimates of reachable sets of multidimensional control systems with nonlinear interconnections”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  82–94  mathnet  elib; Proc. Steklov Inst. Math., 269: suppl. 1 (2010), S134–S146  scopus 36
2007
23. M. I. Gusev, “Experiment design in guaranteed identification”, Avtomat. i Telemekh., 2007, no. 11,  61–75  mathnet  mathscinet  zmath; Autom. Remote Control, 68:11 (2007), 1945–1958  scopus 1
2006
24. M. I. Gusev, V. A. Leonov, “On control of operating practices of oil production complexes”, Izv. IMI UdGU, 2006, no. 3(37),  25–26  mathnet
25. M. I. Gusev, “Error bounds for attainability sets of control systems with phase constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  64–77  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 255: suppl. 2 (2006), S66–S80  scopus 3
2005
26. M. I. Gusev, “Optimal inputs in guaranteed identification problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  74–84  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 2005, suppl. 1, S95–S106 2
2000
27. M. I. Gusev, “On stability of information domains in guaranteed estimation problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  55–71  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 2000, suppl. 1, S104–S118 1
1992
28. M. I. Gusev, “On the structure of optimal minimax estimates in guaranteed estimation problems”, Dokl. Akad. Nauk, 322:5 (1992),  832–835  mathnet  mathscinet  zmath; Dokl. Math., 45:1 (1992), 173–176 3
1988
29. M. I. Gusev, “Optimization of measurements in a problem on the estimation of the state of a dynamical system with geometric constraints on noise”, Differ. Uravn., 24:11 (1988),  1862–1870  mathnet  mathscinet; Differ. Equ., 24:11 (1988), 1237–1243 1
1976
30. M. I. Gusev, A. B. Kurzhanskii, “On equilibrium situations in multicriteria game problems”, Dokl. Akad. Nauk SSSR, 229:6 (1976),  1295–1298  mathnet  mathscinet  zmath 2
1972
31. M. I. Gusev, “Vector optimization of linear systems”, Dokl. Akad. Nauk SSSR, 207:1 (1972),  21–24  mathnet  mathscinet  zmath
1971
32. M. I. Gusev, A. B. Kurzhanskii, “On the optimization of control systems in the presence of constraints. I, II”, Differ. Uravn., 7:10 (1971),  1789–1800  mathnet  mathscinet  zmath 4
33. M. I. Gusev, A. B. Kurzhanskii, “On the optimization of control systems in the presence of constraints. I, II”, Differ. Uravn., 7:9 (1971),  1591–1602  mathnet  mathscinet  zmath 4
2009
34. V. I. Berdyshev, M. I. Gusev, N. N. Krasovskii, Yu. S. Osipov, V. N. Ushakov, A. G. Chentsov, “Aleksandr Borisovich Kurzhanskii (on the occasion of his 70th birthday)”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  5–9  mathnet  elib; Proc. Steklov Inst. Math., 269: suppl. 1 (2010), S1–S5 1
1999
35. A. V. Arutyunov, M. I. Gusev, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, N. N. Krasovskii, E. F. Mishchenko, Yu. S. Osipov, F. L. Chernous'ko, “Aleksandr Borisovich Kurzhanskiǐ (on the occasion of his sixtieth birthday)”, Differ. Uravn., 35:11 (1999),  1443–1451  mathnet  mathscinet; Differ. Equ., 35:11 (1999), 1463–1473

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