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, 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
|
|
|
|
|
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
|
|
|
|
|
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
|
|
|
|
|
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
|
|
|
|
|
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
|
|
|
|
|
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
|
|
|
|
|
|
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
|
|
|
|
|
|