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International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
(June 7–9, 2022, Steklov Mathematical Institute RAS, Moscow)

International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko

2022 marks the centenary of the birth of Academician Evgenii Frolovich Mishchenko (1922–2010), an outstanding mathematician and one of the founders of modern mathematical control theory and oscillation theory. To commemorate this event, Steklov Mathematical Institute of Russian Academy of Sciences organizes the International Conference “Differential Equations and Optimal Control”. The conference will be held in Moscow at the Steklov Mathematical Institute, June 7–9, 2022, in a blended format (with in-person and online participation).

The goal of the conference is to discuss a wide range of issues in the theory of differential equations, optimal control and differential games.

The working languages of the conference are Russian and English.

Financial support. The conference is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (grant for the creation and development of the Steklov International Mathematical Center, agreement no. 075-15-2022-265).

Materials of the conference

E-mail:
Website: https://mishchenko100.mi-ras.ru

Program

Ðoster

Program Committee
Kozlov Valery Vasil'evich (Chairman)
Davydov Alexey Alexandrovich (Vice-chairman)
Grines Vyacheslav Zigmuntovich
Lokutsievskiy Lev Vyacheslavovich
Lukoyanov Nikolai Yur'evich
Veliov Vladimir M.

Organizing Committee
Treschev Dmitry Valerevich (Chairman)
Aseev Sergey Mironovich (Vice-chairman)
Besov Konstantin Olegovich
Davydov Alexey Alexandrovich
Klimenko Alexey Vladimirovich
Konovalov Sergey Petrovich
Myrikova Viktoria Andreevna
Timofeeva Vera Anatol'evna

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko, Moscow, June 7–9, 2022

June 7, 2022 (Tue)
1. Opening of the Conference
June 7, 2022 09:30–10:00, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Plenary lectures
2. On the integrability of the equations of dynamics in a nonpotential force field
V. V. Kozlov
June 7, 2022 10:00–10:45, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		V. V. Kozlov
  
3. Novikov’s differential equations and polynomial Hamiltonian dynamical systems
V. M. Buchstaber
June 7, 2022 10:45–11:30, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		V. M. Buchstaber
  
4. Explicit solution of Newton’s problem without the requirement of axial symmetry
M. I. Zelikin, L. V. Lokutsievskiy
June 7, 2022 11:50–12:35, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		M. I. Zelikin, L. V. Lokutsievskiy
  
5. Asymptotic homology in sub-Riemannian geometry
A. A. Agrachev
June 7, 2022 12:35–13:20, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  
6. Linearization with a function parameter
D. V. Treschev
June 7, 2022 14:30–15:15, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		D. V. Treschev
  
7. Optimal control problems for systems with fractional derivatives: dynamic programming principle and Hamilton–Jacobi equations
M. I. Gomoyunov
June 7, 2022 15:15–16:00, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		M. I. Gomoyunov
  
8. Necessary conditions of the first and second orders for the trajectory of a local infimum in optimal control
E. R. Avakov, G. G. Magaril-Il'yaev
June 7, 2022 16:00–16:45, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall 		E. R. Avakov, G. G. Magaril-Il'yaev
  

Memorial session dedicated to memories of E. F. Mishchenko
9. Opening speech
V. V. Kozlov
June 7, 2022 17:05–17:15, Memorial session dedicated to memories of E. F. Mishchenko, Moscow, Steklov Institute, 9th floor, Conference Hall
  
10. Evgenii Frolovich Mishchenko. Biography in photos
S. P. Konovalov
June 7, 2022 17:15–17:45, Memorial session dedicated to memories of E. F. Mishchenko, Moscow, Steklov Institute, 9th floor, Conference Hall
  
11. Memories of Evgenii Frolovich Mishchenko
June 7, 2022 17:45–18:30, Memorial session dedicated to memories of E. F. Mishchenko, Moscow, Steklov Institute, 9th floor, Conference Hall
  

June 8, 2022 (Wed)

Plenary lectures
12. Variational problems of nonlinear elasticity and composition operators in Sobolev spaces
S. K. Vodopyanov
June 8, 2022 09:30–10:15, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  
13. Hopf knot as a complete invariant of Morse–Smale diffeomorphisms on the 3-sphere
O. V. Pochinka
June 8, 2022 10:15–11:00, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  
14. Parametric smooth variational principles and probabilistic dynamic optimization problems
Yu. S. Ledyaev
June 8, 2022 14:30–15:15, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  
15. Systems of coupled singularly perturbed equations with delay
S. D. Glyzin, A. Yu. Kolesov
June 8, 2022 15:15–16:00, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Section “Optimal Control”
16. The existence of an optimal mixed harvesting of a distributed resource
A. A. Davydov, E. V. Vinnikov
June 8, 2022 11:30–12:00, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
17. Derivative of sub-Riemannian geodesics is $L_p$-Hölder continuous
L. V. Lokutsievskiy
June 8, 2022 12:00–12:30, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
18. On the necessity of boundary conditions of the maximum principle at infinity
D. V. Khlopin
June 8, 2022 12:30–12:50, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
19. GRAPE method for open quantum systems driven by coherent and incoherent controls
V. N. Petruhanov, A. N. Pechen
June 8, 2022 12:50–13:10, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
20. Optimal control problems and methods for some open quantum systems
O. V. Morzhin, A. N. Pechen
June 8, 2022 13:10–13:30, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
21. Symmetry and analytics in describing the reachable set of the Dubins car
V. S. Patsko, A. A. Fedotov
June 8, 2022 16:30–17:00, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
22. Method of $v$-change of time in optimal control problems
A. V. Dmitruk, N. P. Osmolovskii
June 8, 2022 17:00–17:30, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
23. Optimal control of a hybrid Markov–Dubins model
A. S. Bortakovskii
June 8, 2022 17:30–17:50, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
24. Optimal strategies for combining drug and oncolytic virus therapies in a cancer treatment model
E. N. Khailov, E. V. Grigorieva
June 8, 2022 17:50–18:10, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
25. On a problem of optimal boundary control of an inhomogeneous vibratory system with a given speed of points at an intermediate time
V. R. Barseghyan, S. V. Solodusha
June 8, 2022 18:10–18:30, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
26. Attainable sets for control systems on a free Carnot group with positive controls
A. V. Podobryaev
June 8, 2022 18:30–18:50, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
27. Some set-theoretical operations with the reachable set of a linear control system
M. V. Balashov, A. A. Tremba
June 8, 2022 18:50–19:10, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Section “Differential Games”
28. Cooperative differential games on networks
L. A. Petrosyan, D. Yeung, Ya. B. Pankratova
June 8, 2022 11:30–12:00, Section “Differential Games”, Moscow, Steklov Institute, 1st floor, Room 110
  
29. Decision making based on the Pareto union of minimax regret and guaranteed outcome
V. I. Zhukovskiy, L. V. Zhukovskaya, Yu. S. Mukhina
June 8, 2022 12:00–12:30, Section “Differential Games”, Moscow, Steklov Institute, 1st floor, Room 110
  
30. Locally inertial controls in differential evasion games with integral restrictions
L. P. Yugay
June 8, 2022 12:30–12:50, Section “Differential Games”, Moscow, Steklov Institute, 1st floor, Room 110
  
31. HIV process — differential game
A. V. Kim, G. À. Bocharov
June 8, 2022 12:50–13:10, Section “Differential Games”, Moscow, Steklov Institute, 1st floor, Room 110
  
32. Some problems of minimax control
M. S. Nikol’skii
June 8, 2022 13:10–13:30, Section “Differential Games”, Moscow, Steklov Institute, 1st floor, Room 110
  

Online section “Differential Equations”
33. Dynamics of a voting process based on the bounded confidence principle
S. Yu. Pilyugin
June 8, 2022 11:30–12:00, Online section “Differential Equations”, Moscow, Steklov Institute, 4 floor, Room 430 + online
  
34. Schlesinger systems with a basis of hypergeometric solutions
V. P. Leksin
June 8, 2022 12:00–12:30, Online section “Differential Equations”, Moscow, Steklov Institute, 4 floor, Room 430 + online
  
35. Viscosity solutions of Hamilton–Jacobi–Bellman equations for neutral-type systems
A. R. Plaksin
June 8, 2022 12:30–12:50, Online section “Differential Equations”, Moscow, Steklov Institute, 4 floor, Room 430 + online
  
36. On the decomposition of ambient surfaces for $A$-diffeomorphisms with non-trivial attractors and repellers
V. Z. Grines, D. I. Mints
June 8, 2022 12:50–13:10, Online section “Differential Equations”, Moscow, Steklov Institute, 4 floor, Room 430 + online
  
37. A nonlinear differential game of $l$-capture
B. T. Samatov, U. B. Soyibboev
June 8, 2022 13:10–13:30, Online section “Differential Equations”, Moscow, Steklov Institute, 4 floor, Room 430 + online
  

Section “Differential Equations”
38. Multistability and limit cycles in polynomial dynamical systems
V. A. Gaiko
June 8, 2022 16:30–17:00, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  
39. Relaxation oscillations in a second-order equation with delayed feedback
S. A. Kaschenko
June 8, 2022 17:00–17:30, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  
40. Local dynamics of the second order differential equations with delay
I. S. Kashchenko
June 8, 2022 17:30–17:50, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  
41. Nonlocal dynamics of a model of coupled oscillators with large parameter and delay
A. A. Kashchenko
June 8, 2022 17:50–18:10, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  
42. Construction of Lyapunov norms for two-dimensional dynamical systems with switching
A. M. Musaeva
June 8, 2022 18:10–18:30, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  
43. Higher order traps in quantum control landscapes
B. O. Volkov
June 8, 2022 18:30–18:50, Section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110
  

Poster session
44. Π-strategy for inertially moving objects under integral-geometric constraints
B. Juraev, A. Akbarov
June 8, 2022 19:10–19:40, Poster session, Moscow, online
45. Vårification of controllability of some degenerate four-level quantum systems
A. A. Myachkova, A. N. Pechen
June 8, 2022 19:10–19:40, Poster session, Moscow, online
46. Behaviour of solutions of a mathematical model of traffic flow
M. A. Pogrebnyak
June 8, 2022 19:10–19:40, Poster session, Moscow, online
47. Numerical solution of linear optimal control problems with various quality functionals
S. P. Samsonov
June 8, 2022 19:10–19:40, Poster session, Moscow, online
48. Linear differential games with Langenhop type constraints on controls
B. T. Samatov, S. I. Uralova
June 8, 2022 19:10–19:40, Poster session, Moscow, online
49. On an integral identity for the biharmonic problem with an obstacle
K. O. Besov
June 8, 2022 19:10–19:40, Poster session, Moscow, Steklov Mathematical Institute RAS

June 9, 2022 (Thu)
50. Hamiltonian homoclinic dynamics
L. M. Lerman
June 9, 2022 09:30–10:15, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Plenary lectures
51. Mean field type controlled systems
Yu. V. Averboukh
June 9, 2022 10:15–11:00, Plenary lectures, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Section “Optimal Control”
52. On problems of optimal boundary control of string vibrations with conditions on the state functions at given intermediate time points
V. R. Barsegyan
June 9, 2022 14:30–15:00, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
53. Singularity of Fuller type in a control problem of a rocket
L. A. Manita, M. I. Ronzhina
June 9, 2022 15:00–15:30, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
54. On an isoperimetric problem on the Lobachevsky hyperbolic plane with left-invariant Finsler structure
V. A. Myrikova
June 9, 2022 15:30–15:50, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
55. On complete controllability of a highly degenerate 4-level quantum system with a ‘chained’ coupling Hamiltonian
S. A. Kuznetsov, A. N. Pechen
June 9, 2022 15:50–16:10, Section “Optimal Control”, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Online section “Differential Equations”
56. Pursuit–evasion differential game: alternative solvability and relaxation problem
A. G. Chentsov
June 9, 2022 14:30–15:00, Online section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
57. On a pursuit problem of two rigidly coordinated evaders in linear recurrent differential games
N. N. Petrov
June 9, 2022 15:00–15:30, Online section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
58. Perturbations of nonhyperbolic automorphisms of the two-dimensional torus
V. Z. Grines, D. I. Mints, E. E. Chilina
June 9, 2022 15:30–15:50, Online section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
59. Perturbation method in the problem of optimizing the transient process in a quasi-linear dynamical system
A. I. Kalinin, L. I. Lavrinovich
June 9, 2022 15:50–16:10, Online section “Differential Equations”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
60. On nonlocal inverse function theorems and their applications
A. V. Arutyunov, S. E. Zhukovskiy
June 9, 2022 16:30–17:00, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
  
61. Hierarchy of quasistationary approximations for the system of Maxwell equations in inhomogeneous media
A. V. Kalinin, A. A. Tyukhtina
June 9, 2022 17:00–17:30, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
  
62. The stability of linear control systems with frequent switches
R. F. Kamalov, V. Yu. Protasov
June 9, 2022 17:30–17:50, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
  
63. One limit theorem for the stochastic Lorenz model
Yu. Yu. Klevtsova
June 9, 2022 17:50–18:10, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
64. Asymptotic regimes in near-Hamiltonian systems with damped oscillatory perturbations
O. A. Sultanov
June 9, 2022 18:10–18:30, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
  
65. Impulsive differential equations with nonlinear mixed maxima
T. K. Yuldashev
June 9, 2022 18:30–18:50, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online
  
66. Irregular solutions in a chain of coupled van der Pol equations
S. A. Kaschenko, A. O. Tolbey
June 9, 2022 18:50–19:10, Online section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall + online

Section “Differential Equations”
67. Asymptotic approximation of solutions with transition layers of periodic boundary value problems for Burgers type equations and application in boundary control problems
N. N. Nefedov, V. T. Volkov
June 9, 2022 11:30–12:00, Section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
68. Generalized solutions of boundary value problems for general quasi-linear PDEs
V. P. Burskii
June 9, 2022 12:00–12:30, Section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
69. Stability of the aneurism in a membrane tube with localized wall thinning filled with a fluid having a non-constant velocity profile
A. T. Il'ichev, V. A. Shargatov
June 9, 2022 12:30–12:50, Section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall
  
70. Application of the Kantorovich–Galerkin method for the analysis of resonant systems
V. L. Litvinov
June 9, 2022 12:50–13:10, Section “Differential Equations”, Moscow, Steklov Institute, 9th floor, Conference Hall
  

Online section “Control Theory”
71. Bogolyubov's theorem for a control system with maximal monotone operators
A. A. Tolstonogov
June 9, 2022 11:30–12:00, Online section “Control Theory”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
72. On variational necessary optimality conditions with descent feedback controls strengthening the maximum principle
V. A. Dykhta
June 9, 2022 12:00–12:30, Online section “Control Theory”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
73. Non-convex and convex variational approaches to solving a control reconstruction problem
N. N. Subbotina, E. A. Krupennikov
June 9, 2022 12:30–12:50, Online section “Control Theory”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
74. On optimal resource harvesting in a structured population
M. S. Woldeab, L. I. Rodina
June 9, 2022 12:50–13:10, Online section “Control Theory”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  

Online section “Optimal Control”
75. Time-optimal problem for the heat equation
A. A. Azamov, M. A. Bekimov
June 9, 2022 16:30–17:00, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
76. Abnormal trajectories in a (2, 3, 5, 8) sub-Riemannian problem
Yu. L. Sachkov, E. F. Sachkova
June 9, 2022 17:00–17:30, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
77. Optimality of Euler elasticae in the nilpotent sub-Riemannian problems
A. A. Ardentov
June 9, 2022 17:30–17:50, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
78. Time minimization problem on the Heisenberg group with control in a half-disk
A. P. Mashtakov
June 9, 2022 17:50–18:10, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
79. Construction of solvability sets in linear differential games of approach ‘by a moment’ with a concave target set
L. V. Kamneva
June 9, 2022 18:10–18:30, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
80. The l-catch and evasion differential games for inertial motions
B. T. Samatov, M. Turgunboeva
June 9, 2022 18:30–18:50, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
81. On an optimal control problem with an asymptotic endpoint constraint
S. M. Aseev
June 9, 2022 18:50–19:10, Online section “Optimal Control”, Moscow, Steklov Institute, 1st floor, Room 110 + online
  
 
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