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Kalinin, Anatoly Iosifovich
Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 43
Presentations: 1

Number of views:
This page:1112
Abstract pages:11322
Full texts:4083
References:1605
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person53590
List of publications on Google Scholar
https://zbmath.org/authors/ai:kalinin.anatoly-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/211663

Publications in Math-Net.Ru Citations
2022
1. A. I. Kalinin, L. I. Lavrinovich, D. Y. Prudnikova, “The small parameter method in the optimisation of a quasi-linear dynamical system problem”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2022),  23–33  mathnet  mathscinet
2. A. I. Kalinin, L. I. Lavrinovich, “Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  23–35  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:1 (2022), 20–32  isi  scopus
2021
3. A. I. Kalinin, L. I. Lavrinovich, “Small parameter method in optimization problems of singularly perturbed dynamical systems”, Tr. Inst. Mat., 29:1-2 (2021),  85–93  mathnet
2020
4. A. I. Kalinin, L. I. Lavrinovich, “Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints”, Avtomat. i Telemekh., 2020, no. 6,  29–46  mathnet  elib; Autom. Remote Control, 81:6 (2020), 988–1002  isi  elib  scopus 2
2019
5. R. Gabasov, A. I. Kalinin, F. M. Kirillova, L. I. Lavrinovich, “On asymptotic optimization methods for quasilinear control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  62–72  mathnet  elib 4
2018
6. A. I. Kalinin, “To the synthesis of optimal control systems”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  397–402  mathnet  elib; Comput. Math. Math. Phys., 58:3 (2018), 378–383  isi  scopus 7
2016
7. A. I. Kalinin, L. I. Lavrinovich, “Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem”, Avtomat. i Telemekh., 2016, no. 5,  3–18  mathnet  elib; Autom. Remote Control, 77:5 (2016), 751–763  isi  elib  scopus 4
8. N. M. Dmitruk, A. I. Kalinin, “Asymptotically suboptimal control of weakly interconnected dynamical systems”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1711–1724  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1695–1707  isi  scopus
2015
9. A. I. Kalinin, L. I. Lavrinovich, “Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  194–206  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:2 (2015), 194–205  isi  elib  scopus 4
2013
10. A. I. Kalinin, “Construction of suboptimal solution of the singularly perturbed problem of minimal-intensity control”, Avtomat. i Telemekh., 2013, no. 1,  47–58  mathnet; Autom. Remote Control, 74:1 (2013), 36–45  isi  scopus
2011
11. A. I. Kalinin, “Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011),  2115–2125  mathnet  mathscinet; Comput. Math. Math. Phys., 51:12 (2011), 1989–1999  isi  scopus 2
2010
12. A. I. Kalinin, “Asymptotic behavior of the solution of a singularly perturbed linear-quadratic terminal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  423–433  mathnet  mathscinet; Comput. Math. Math. Phys., 50:3 (2010), 403–413  isi  scopus
2008
13. Ya. O. Grudo, A. I. Kalinin, “Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  1942–1951  mathnet  mathscinet; Comput. Math. Math. Phys., 48:11 (2008), 1945–1954  isi  scopus 2
2007
14. Ya. O. Grudo, A. I. Kalinin, “Asymptotic solution of the optimal speed problem for the quasilinear system under Euclidean constraint on control”, Avtomat. i Telemekh., 2007, no. 8,  106–115  mathnet  mathscinet  zmath; Autom. Remote Control, 68:8 (2007), 1391–1400  scopus 1
2006
15. Ya. O. Grudo, A. I. Kalinin, “Asymptotic optimization method for a quasilinear system with multidimensional controls”, Differ. Uravn., 42:12 (2006),  1604–1611  mathnet  mathscinet; Differ. Equ., 42:12 (2006), 1674–1681 2
2005
16. A. I. Kalinin, “An asymptotic solution to a singularly perturbed time-optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  1963–1968  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:11 (2005), 1888–1892
2004
17. A. I. Kalinin, K. V. Semënov, “The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control”, Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004),  432–443  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:3 (2004), 407–417 24
2002
18. A. I. Kalinin, “Minimization of the total momentum of control drive on the trajectories of linear singularly perturbed systems”, Zh. Vychisl. Mat. Mat. Fiz., 42:10 (2002),  1475–1486  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:10 (2002), 1419–1429
19. N. V. Balashevich, R. Gabasov, A. I. Kalinin, F. M. Kirillova, “Optimal control of nonlinear systems”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  969–995  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:7 (2002), 931–956 13
2000
20. A. I. Kalinin, “Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000),  54–64  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:1 (2000), 51–61
1998
21. A. I. Kalinin, F. M. Kirillova, “Asymptotic optimization of linear dynamical systems in the class of smooth bounded controls”, Differ. Uravn., 34:2 (1998),  175–183  mathnet  mathscinet; Differ. Equ., 34:2 (1998), 178–186
22. A. I. Kalinin, “An asymptotic method for a singularly perturbed linear-quadratic optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1473–1483  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:9 (1998), 1412–1422 2
1997
23. A. I. Kalinin, F. M. Kirillova, O. I. Kostyukova, “Stabilization of Linear Dynamic Systems by Low-Inertia Controls. II. Continuous Stabilizer”, Avtomat. i Telemekh., 1997, no. 5,  45–52  mathnet  mathscinet  zmath; Autom. Remote Control, 58:5 (1997), 749–755
24. A. I. Kalinin, F. M. Kirillova, O. I. Kostyukova, “Stabilization of Linear Dynamic Systems by Low-Inertia Controls. I. The Accompanying Optimal Control Problem”, Avtomat. i Telemekh., 1997, no. 4,  14–21  mathnet  mathscinet  zmath
25. A. I. Kalinin, F. M. Kirillova, “Asymptotic minimization of the full moment of control actions”, Zh. Vychisl. Mat. Mat. Fiz., 37:12 (1997),  1427–1438  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:12 (1997), 1384–1395 1
1996
26. A. I. Kalinin, F. M. Kirillova, O. I. Kostyukova, “Optimization of systems with multidimensional controls according to criteria that are invariant with respect to some of the control actions”, Zh. Vychisl. Mat. Mat. Fiz., 36:1 (1996),  52–65  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:1 (1996), 41–51  isi
1995
27. I. V. Gribkovskaya, A. I. Kalinin, “Asymptotic behavior of the solution of the time optimality problem for a linear singularly perturbed system that contains parameters of variable orders of smallness at the derivatives”, Differ. Uravn., 31:8 (1995),  1275–1284  mathnet  mathscinet  zmath; Differ. Equ., 31:8 (1995), 1219–1228 2
28. I. V. Gribkovskaya, A. I. Kalinin, “Asymptotic optimization of a linear singularly perturbed system containing parameters of variable orders of smallness at the derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995),  1299–1312  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:9 (1995), 1041–1051  isi 3
1994
29. A. I. Kalinin, F. M. Kirillova, “Asymptotic optimization of linear dynamical systems in a class of low-inertia controls”, Avtomat. i Telemekh., 1994, no. 4,  38–46  mathnet  mathscinet  zmath; Autom. Remote Control, 55:4 (1994), 488–494 1
1993
30. R. Gabasov, A. I. Kalinin, F. M. Kirillova, G. N. Naumovich, “An asymptotically optimal controller for a quasilinear system”, Dokl. Akad. Nauk, 332:2 (1993),  138–141  mathnet  mathscinet  zmath; Dokl. Math., 48:2 (1994), 263–267 3
31. A. I. Kalinin, “An algorithm for the asymptotic solution of a singularly perturbed nonlinear time-optimality problem”, Differ. Uravn., 29:4 (1993),  585–596  mathnet  mathscinet; Differ. Equ., 29:4 (1993), 497–506 2
32. A. I. Kalinin, “An algorithm for the asymptotic solution of the problem of the terminal control of a nonlinear singularly perturbed system”, Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1762–1775  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:12 (1993), 1543–1553  isi 2
1991
33. S. V. Gnevko, A. I. Kalinin, “Asymptotic optimization of nonlinear regularly perturbed control systems”, Zh. Vychisl. Mat. Mat. Fiz., 31:8 (1991),  1160–1172  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:8 (1991), 28–37  isi
1990
34. A. I. Kalinin, “An asymptotic method for constructing optimal controls with singular intervals”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  62–67  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 296–301
35. A. I. Kalinin, “The perturbation method for the asymptotic solution of a quasilinear time-optimality problem”, Differ. Uravn., 26:4 (1990),  585–594  mathnet  mathscinet  zmath; Differ. Equ., 26:4 (1990), 424–431 4
36. A. I. Kalinin, “A method for the asymptotic solution of singularly perturbed linear terminal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990),  366–378  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 19–28 5
1989
37. A. I. Kalinin, “Asymptotic optimization of linear singularly perturbed control systems”, Differ. Uravn., 25:10 (1989),  1687–1698  mathnet  mathscinet; Differ. Equ., 25:10 (1989), 1170–1179
1988
38. A. I. Kalinin, “Optimization of quasilinear control systems”, Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988),  325–334  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 12–19 5
1987
39. R. Gabasov, A. I. Kalinin, F. M. Kirillova, “An optimization algorithm for a quasilinear control system”, Dokl. Akad. Nauk SSSR, 293:1 (1987),  22–26  mathnet  mathscinet  zmath 5
1985
40. A. I. Kalinin, “On the problem of singular optimal controls”, Differ. Uravn., 21:3 (1985),  380–385  mathnet  mathscinet  zmath
1978
41. A. I. Kalinin, “A method for the improvement of attainable controls in discrete systems”, Differ. Uravn., 14:2 (1978),  338–344  mathnet  mathscinet  zmath
1973
42. A. I. Kalinin, “Necessary optimality conditions for singular controls”, Differ. Uravn., 9:3 (1973),  568–573  mathnet  mathscinet  zmath 1
1972
43. A. I. Kalinin, “The connection between the Bellman function and matrix impulses”, Differ. Uravn., 8:8 (1972),  1501–1504  mathnet  mathscinet  zmath
2016
44. A. V. Arguchintsev, V. A. Srochko, V. V. Al'sevich, N. M. Dmitruk, A. I. Kalinin, “Rafail Gabasov — on the occasion of the 80th birthday”, Bulletin of Irkutsk State University. Series Mathematics, 15 (2016),  108–120  mathnet

Presentations in Math-Net.Ru
1. Perturbation method in the problem of optimizing the transient process in a quasi-linear dynamical system
A. I. Kalinin, L. I. Lavrinovich
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 9, 2022 15:50   

Organisations
 
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