Ushakov Vladimir Nikolaevich

Publications in Math-Net.Ru

1. $\alpha^*$-sets in finite-dimensional euclidean spaces and their properties
   
   Mat. Teor. Igr Pril., 18:1 (2026),  47–114
2. On influence of control system right-hand side replacement on the accuracy in approaching problem
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 32:2 (2026),  9–28
3. To solve some control problems of nonlinear systems
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 36:1 (2026),  99–136
4. On the Area of the $\varepsilon $-Layer of a Weakly Convex Figure
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  280–293
5. Construction of reachability sets for nonlinear control systems by grid algorithm with an apriori reduction procedure
   
   Chelyab. Fiz.-Mat. Zh., 9:3 (2024),  364–374
6. Concerning one supplement to unification method of N.N. Krasovskii in differential games theory
   
   Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024),  65–71
7. Convergence of conflict-controlled systems over a finite period of time
   
   Izv. IMI UdGU, 64 (2024),  70–96
8. Minimax differential game with a fixed end moment
   
   Mat. Teor. Igr Pril., 16:3 (2024),  77–112
9. On the relation between $\alpha$-sets and weakly convex sets
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  276–285
10. On the construction of solutions to a game problem with a fixed end time
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  255–273
11. Some problems of target approach for nonlinear control system at a fixed time moment
    
    Izv. IMI UdGU, 62 (2023),  125–155
12. Game Problem of Target Approach for Nonlinear Control System
    
    Mat. Teor. Igr Pril., 15:2 (2023),  122–139
13. Unification in the game problem of convergence and the property of stability
    
    Chelyab. Fiz.-Mat. Zh., 7:1 (2022),  54–79
14. On the approach problem for a control system on a finite time interval
    
    Izv. IMI UdGU, 60 (2022),  111–154
15. On the parametric dependence of the volume of integral funnels and their approximations
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:3 (2022),  447–462
16. Reachable sets and integral funnels of differential inclusions depending on a parameter
    
    Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021),  49–53
17. On the construction of resolving control in the problem of getting close at a fixed time moment
    
    Izv. IMI UdGU, 58 (2021),  73–93
18. Iterative algorithms for minimizing the Hausdorff distance between convex polyhedrons
    
    Izv. IMI UdGU, 57 (2021),  142–155
19. Two game-theoretic problems of approach
    
    Mat. Sb., 212:9 (2021),  40–74
20. On a Problem of Impulse Control under Disturbance and Possible Breakdown
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  249–263
21. On Estimating the Degree of Nonconvexity of Reachable Sets of Control Systems
    
    Trudy Mat. Inst. Steklova, 315 (2021),  261–270
22. Control system depending on a parameter
    
    Ural Math. J., 7:1 (2021),  120–159
23. Algorithms of minimization of Hausdorff deviation of a convex compact from a set of movable convex polygons
    
    Chelyab. Fiz.-Mat. Zh., 5:2 (2020),  218–232
24. Numerical methods for constructing suboptimal packings of nonconvex domains with curved boundary
    
    Diskretn. Anal. Issled. Oper., 27:4 (2020),  58–79
25. Estimation of the growth of the degree of nonconvexity of reachable sets in terms of $\alpha$-sets
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  100–106
26. On targeting an integral funnel of control system at a target set in the phase space
    
    Izv. IMI UdGU, 56 (2020),  79–101
27. On the guaranteed estimates of the area of convex subsets of compacts on a plane
    
    Mat. Teor. Igr Pril., 12:4 (2020),  112–126
28. On Two-Sided Approximations of Reachable Sets of Control Systems with Geometric Constraints on the Controls
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  239–255
29. On recovering of unknown constant parameter by several test controls
    
    Ufimsk. Mat. Zh., 12:4 (2020),  101–116
30. On estimation of Hausdorff deviation of convex polygons in $ \mathbb{R}^2$ from their differences with disks
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020),  585–603
31. On one control problem with disturbance and vectograms depending linearly on given sets
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:3 (2020),  429–443
32. On one addition to evaluation by L. S. Pontryagin of the geometric difference of sets in a plane
    
    Izv. IMI UdGU, 54 (2019),  63–73
33. An approach problem for a control system and a compact set in the phase space in the presence of phase constraints
    
    Mat. Sb., 210:8 (2019),  29–66
34. An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games
    
    Trudy Mat. Inst. Steklova, 304 (2019),  285–297
35. An estimate of the Hausdorff distance between a set and its convex hull in Euclidean spaces of small dimension
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  223–235
36. Alpha-sets in finite-dimensional Euclidean spaces and their applications in control theory
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 14:3 (2018),  261–272
37. On reducing the motion of a controlled system to a Lebesgue set of a Lipschitz function
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:4 (2018),  489–512
38. An approach problem for a control system with an unknown parameter
    
    Mat. Sb., 208:9 (2017),  56–99
39. Iterative methods for minimization of the Hausdorff distance between movable polygons
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017),  86–97
40. Algorithms of optimal packing construction in ellipse
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017),  67–79
41. Theorems on the separability of $\alpha$-sets in Euclidean space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  277–291
42. On the solution of control problems with fixed terminal time
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016),  543–564
43. Algorithms of optimal set covering on the planar $\mathbb{R}^2 $
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:2 (2016),  258–270
44. $\alpha$-sets in finite dimensional Euclidean spaces and their properties
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:1 (2016),  95–120
45. To solution of control problems of nonlinear systems on a finite time interval
    
    Izv. IMI UdGU, 2015, no. 2(46),  202–215
46. $\alpha$-systems of differential inclusions and their unification
    
    Mat. Teor. Igr Pril., 7:2 (2015),  85–116
47. Algorithms for the construction of an optimal cover for sets in three-dimensional Euclidean space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  276–288
48. On solving approach problems for control systems
    
    Trudy Mat. Inst. Steklova, 291 (2015),  276–291
49. Construction of solutions in an approach problem of a stationary control system
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  277–286
50. Optimization of the Hausdorff distance between sets in Euclidean space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  291–308
51. On estimation of the stability defect of the sets with piecewise smooth border
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  250–266
52. A method for constructing a resolving control in an approach problem based on attraction to the solvability set
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  275–284
53. The invariance of sets in the construction of solutions to a problem of approach at a fixed time
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  264–283
54. Geometry of singular curves for one class of velocity
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 3,  157–167
55. Algorithms of the best approximations of the flat sets by the union of circles
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4,  88–99
56. A variant of a metric for unbounded convex sets
    
    Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013),  40–49
57. On the solutions construction of the problem of convergence to a fixed point in time
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:4 (2012),  95–115
58. Stability defect of maximal stable bridge in approaching game problem with closed target
    
    Izv. IMI UdGU, 2012, no. 1(39),  140
59. Problems of dynamics of systems with phase constraints
    
    Izv. IMI UdGU, 2012, no. 1(39),  138–139
60. On the Representation of Fibonacci and Lucas Numbers as the Sum of Three Squares
    
    Mat. Zametki, 91:5 (2012),  711–719
61. On the question of the weak invariance of sets with respect to a differential inclusion generated by a control system
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  271–285
62. Differential games with fixed terminal time and estimation of the instability degree of sets in these games
    
    Trudy Mat. Inst. Steklova, 277 (2012),  275–287
63. Estimate of the stability defect for a positional absorption set subjected to discriminant transformations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  209–224
64. Approximations of attainability sets and of integral funnels of differential inclusions
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4,  23–39
65. Invariance defect of sets with respect to differential inclusion
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2,  98–111
66. Function defect in differential games with terminal pay
    
    Mat. Teor. Igr Pril., 2:2 (2010),  99–128
67. On the question of the stability defect of sets in an approach game problem
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  199–222
68. On a supplement to the stability property in differential games
    
    Trudy Mat. Inst. Steklova, 271 (2010),  299–318
69. Defect of stability in game-pursuit problem
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3,  87–103
70. On solving a pursuit game problem with fixed termination time
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  251–261
71. On the coincidence of maximal stable bridges in two approach game problems for stationary control systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  219–240
72. Construction of a minimax solution for an eikonal-type equation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:2 (2008),  182–191
73. Coincidence Criteria for Maximal Stable Bridges in Two Game Problems of Approach
    
    Trudy Mat. Inst. Steklova, 262 (2008),  253–271
74. Using the stability defect for the construction of control in the differential game
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  155–162
75. Two algorithms for approximate construction of the set of positional absorption in the game problem of pursuit
    
    Avtomat. i Telemekh., 2007, no. 11,  178–194
76. On the property of stability in differential games
    
    Izv. IMI UdGU, 2006, no. 3(37),  155–156
77. The stability defect of sets in game control problems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  178–194
78. On the problem of computing of a control that leads a motion of a controlled system to a neighborhood of a given point on a reachable set
    
    Vestn. Udmurtsk. Univ. Mat., 2006, no. 1,  111–126
79. Construction of solutions in certain differential games with phase constraints
    
    Mat. Sb., 196:4 (2005),  51–78
80. Approximate computation of the invariance kernel of differential inclusions
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005),  592–602
81. Stable bridges in differential games in a finite time interval
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 10:2 (2004),  155–177
82. О выделении ядра инвариантности для дифференциальных включений
    
    Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8,  167–180
83. A discrete method for constructing an approximate viability kernel of a differential inclusion
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  895–908
84. The construction of differential inclusions with prescribed properties
    
    Differ. Uravn., 36:4 (2000),  438–445
85. Constructions of the differential game theory for solving the Hamilton–Jacobi equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 6:2 (2000),  320–336
86. On infinitesimal constructions in the theory of generalized dynamical systems. II
    
    Differ. Uravn., 34:4 (1998),  457–464
87. An inverse problem in the theory of differential inclusions
    
    Differ. Uravn., 34:4 (1998),  451–456
88. On infinitesimal constructions in the theory of generalized dynamical systems. I
    
    Differ. Uravn., 34:2 (1998),  157–165
89. The construction of approximate integral funnels of differential inclusions
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:7 (1994),  965–977
90. On construction of positional absorption set in conflict control problems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992),  160–177
91. On the existence of the cost of differential games with integral constraints
    
    Differ. Uravn., 27:6 (1991),  931–941
92. Strongly and weakly invariant sets with respect to a differential inclusion, their derivatives and application to control problems
    
    Differ. Uravn., 26:11 (1990),  1888–1894
93. Strongly and weakly invariant sets with respect to a differential inclusion
    
    Dokl. Akad. Nauk SSSR, 303:4 (1988),  794–796
94. A minimax differential game
    
    Dokl. Akad. Nauk SSSR, 206:2 (1972),  277–280


95. Nikolai Nikandrovich Petrov. To anniversary
    
    Izv. IMI UdGU, 62 (2023),  3–9
96. Ivan Ivanovich Eremin
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  5–12
97. In memory of Evgenii Leonidovich Tonkov (27.06.1940–28.09.2014)
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  146–154
98. Petrov Nikolai Nikandrovich (on his sixties birthday)
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4,  175–180
99. In memory of Nikolai Nikolaevich Krasovskii (07.09.1924 – 04.04.2012)
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 3,  157–158
100. To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov
     
     Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  5–6
101. APST'2009
     
     Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  281–284
102. Aleksandr Borisovich Kurzhanskii (on the occasion of his 70th birthday)
     
     Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  5–9
103. Andrei Izmailovich Subbotin (Memorial issue)
     
     Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  3–26