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Rapoport, Lev Borisovich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person49012
List of publications on Google Scholar
https://zbmath.org/authors/ai:rapoport.lev-b
https://mathscinet.ams.org/mathscinet/MRAuthorID/246723
https://orcid.org/0000-0002-9882-925X
https://www.scopus.com/authid/detail.url?authorId=7005058339

Publications in Math-Net.Ru Citations
2024
1. L. B. Rapoport, A. A. Generalov, B. A. Barulin, M. D. Gorbachev, “An extension of the feedback linearization method in the control problem of an inverted pendulum on a wheel”, Avtomat. i Telemekh., 2024, no. 4,  61–80  mathnet
2022
2. L. B. Rapoport, A. A. Generalov, “Control of an inverted pendulum on a wheel”, Avtomat. i Telemekh., 2022, no. 8,  3–28  mathnet; Autom. Remote Control, 83:8 (2022), 1151–1171 3
2019
3. L. B. Rapoport, T. A. Tormagov, “Relaxation methods for navigation satellites set optimization”, Probl. Upr., 2019, no. 4,  65–71  mathnet
2018
4. L. B. Rapoport, “Semidefinite relaxation and new conditions for sign-definiteness of the quadratic form under quadratic constraints”, Avtomat. i Telemekh., 2018, no. 11,  150–158  mathnet  elib; Autom. Remote Control, 79:11 (2018), 2073–2079  isi  scopus 3
5. L. B. Rapoport, “Application of the semi-definite relaxation method to the attitude determination of the rigid body”, Probl. Upr., 2018, no. 5,  79–83  mathnet
2013
6. A. V. Pesterev, L. B. Rapoport, “Canonical representation of the path following problem for wheeled robots”, Avtomat. i Telemekh., 2013, no. 5,  80–101  mathnet  mathscinet  zmath; Autom. Remote Control, 74:5 (2013), 785–801  isi  scopus 13
2012
7. R. F. Gilimyanov, L. B. Rapoport, “Path deformation method in robot motion planning problems in the presence of obstacles”, Probl. Upr., 2012, no. 1,  70–76  mathnet; Automation and Remote Control, 74:12 (2013), 2163–2172  isi 8
2011
8. L. B. Rapoport, “The periodic solution of two-dimensional linear nonstationary systems and estimation of the attraction domain boundary in the problem of control of a wheeled robot”, Avtomat. i Telemekh., 2011, no. 11,  130–139  mathnet  mathscinet  zmath; Autom. Remote Control, 72:11 (2011), 2339–2347  isi  scopus 2
2010
9. L. B. Rapoport, “The attitude determination method”, Probl. Upr., 2010, no. 5,  57–64  mathnet 1
2009
10. A. V. Pesterev, L. B. Rapoport, “Construction of invariant ellipsoids in the stabilization problem for a wheeled robot following a curvilinear path”, Avtomat. i Telemekh., 2009, no. 2,  52–67  mathnet  mathscinet  zmath; Autom. Remote Control, 70:2 (2009), 219–232  isi  scopus 16
2008
11. L. B. Rapoport, Yu. V. Morozov, “Estimating the attraction domain of the invariant set in the problem of wheeled robot control”, Avtomat. i Telemekh., 2008, no. 11,  48–61  mathnet  mathscinet  zmath; Autom. Remote Control, 69:11 (2008), 1859–1872  isi  scopus 4
12. Yu. V. Morozov, L. B. Rapoport, “Numerical methods for estimation of the attraction domain in the problem of control of the wheeled robot”, Avtomat. i Telemekh., 2008, no. 1,  16–29  mathnet  mathscinet  zmath; Autom. Remote Control, 69:1 (2008), 13–26  isi  scopus 10
2006
13. L. B. Rapoport, “Estimation of attraction domains in wheeled robot control”, Avtomat. i Telemekh., 2006, no. 9,  69–89  mathnet  mathscinet  zmath; Autom. Remote Control, 67:9 (2006), 1416–1435  scopus 34
2005
14. L. B. Rapoport, “Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities”, Avtomat. i Telemekh., 2005, no. 1,  37–48  mathnet  mathscinet  zmath; Autom. Remote Control, 66:1 (2005), 31–42  scopus 4
1998
15. L. B. Rapoport, “Analysis of the robust stability of linear time-independent systems using quadratic parameter-dependent Lyapunov functions”, Avtomat. i Telemekh., 1998, no. 8,  146–153  mathnet  mathscinet  zmath; Autom. Remote Control, 59:8 (1998), 1171–1176
1995
16. L. B. Rapoport, “Antiperiodic motions and the algebraic criterion of asymptotic stability of selector-linear differential inclusions in the two-dimensional case”, Avtomat. i Telemekh., 1995, no. 1,  56–63  mathnet  mathscinet  zmath; Autom. Remote Control, 56:1 (1995), 46–51 2
1993
17. L. B. Rapoport, “Antiperiodic motions and an algebraic criterion for the absolute stability of nonlinear time-dependent systems in the three-dimensional case”, Avtomat. i Telemekh., 1993, no. 7,  38–54  mathnet  mathscinet  zmath; Autom. Remote Control, 54:7 (1993), 1063–1076 7
18. L. B. Rapoport, “The existence of nonsmooth invariant functions on the boundary of the domain of absolute stability of nonlinear time-dependent systems”, Avtomat. i Telemekh., 1993, no. 3,  109–114  mathnet  mathscinet  zmath; Autom. Remote Control, 54:3 (1993), 448–453 1
1991
19. E. S. Pyatnitskiĭ, L. B. Rapoport, “Periodic motions and criteria for absolute stability of nonlinear time-dependent systems”, Avtomat. i Telemekh., 1991, no. 10,  63–73  mathnet  mathscinet  zmath; Autom. Remote Control, 52:10 (1991), 1379–1387 11
20. E. S. Pyatnitskiĭ, L. B. Rapoport, “The existence of periodic motions and criteria for the absolute stability of nonlinear time-dependent systems in the three-dimensional case”, Avtomat. i Telemekh., 1991, no. 5,  68–79  mathnet  mathscinet  zmath; Autom. Remote Control, 52:5 (1991), 648–658 7
21. E. S. Pyatnitskii, L. B. Rapoport, “Boundary of the domain of asymptotic stability of selector-linear differential inclusions and the existence of periodic solutions”, Dokl. Akad. Nauk SSSR, 321:4 (1991),  687–691  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 785–790 2
1990
22. L. B. Rapoport, “Absolute stability bound of nonlinear nonstationary systems and its relationship with construction of invariant functions”, Avtomat. i Telemekh., 1990, no. 10,  78–86  mathnet  mathscinet  zmath; Autom. Remote Control, 51:10 (1990), 1368–1375 2
23. E. S. Pyatnitskii, L. B. Rapoport, “A method for constructing invariant functions and the study of phase portraits of dynamical systems on a computer”, Differ. Uravn., 26:7 (1990),  1116–1126  mathnet  mathscinet; Differ. Equ., 26:7 (1990), 811–818
1989
24. L. B. Rapoport, “On problems of absolute stability for control systems with superposition of nonlinear elements”, Avtomat. i Telemekh., 1989, no. 12,  166–168  mathnet  mathscinet 2
25. L. B. Rapoport, “On one frequency criterion of absolute stability for control systems with several nonlinear stationary elements”, Avtomat. i Telemekh., 1989, no. 6,  34–43  mathnet  mathscinet  zmath; Autom. Remote Control, 50:6 (1989), 743–750 5
1988
26. A. L. Zelentsovskii, L. B. Rapoport, “Sufficient conditions for existence of Lyapunov functions from the range of higher power forms in the problem of absolute stability of nonlinear control systems”, Avtomat. i Telemekh., 1988, no. 5,  178–183  mathnet  mathscinet  zmath
27. L. B. Rapoport, “Sign-definiteness of a quadratic form under quadratic constraints and the absolute stability of nonlinear control systems”, Dokl. Akad. Nauk SSSR, 298:4 (1988),  822–826  mathnet  mathscinet  zmath; Dokl. Math., 33:2 (1988), 96–98 1
1987
28. L. B. Rapoport, “On absolute stability of control systems incorporating several nonlinear stationary elements”, Avtomat. i Telemekh., 1987, no. 5,  66–74  mathnet 3

Presentations in Math-Net.Ru
1. Построение покрывающих путей для трехмерного ландшафта при ограничении на нормальную кривизну траектории на основе решения задачи конического программирования второго порядка
T. A. Tormagov, L. B. Rapoport
All-Moscow regular scientific seminar "Control Theory and Optimization"
December 7, 2021 11:30
2. Аномальные измерения в задачах точной спутниковой навигации и методы их изоляции
L. B. Rapoport
All-Moscow regular scientific seminar "Control Theory and Optimization"
December 29, 2015 11:30

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