Department of Applied Mathematics and Mechanics

Research Output 2012 2019

Filter
Article
2019

Approximate public-signal correlated equilibria for nonzero-sum differential games

Averboukh, Y., 1 Jan 2019, In : SIAM Journal on Control and Optimization. 57, 1, p. 743-772 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Nonzero-sum Games
Differential Games
Stochastic Games
Data storage equipment
Continuous Time
Infinite Horizon
Hamilton-Jacobi Equation
Integrand
Optimal Control Problem
Discount Factor
1 Citation (Scopus)

Krasovskii–Subbotin Approach to Mean Field Type Differential Games

Averboukh, Y., 15 Sep 2019, In : Dynamic Games and Applications. 9, 3, p. 573-593 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Differential Games
Mean Field
Value Function
Mathematical Model
Mathematical models

On Applications of the Hamilton—Jacobi Equations and Optimal Control Theory to Problems of Chemotherapy of Malignant Tumors

Subbotina, N. N. & Novoselova, N. G., 1 Jan 2019, In : Proceedings of the Steklov Institute of Mathematics. 304, 1, p. 257-267 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Optimal Control Theory
Chemotherapy
Hamilton-Jacobi Equation
Tumor
Value Function

Optimizing Insertions in a Constraint Routing Problem with Complicated Cost Functions

Petunin, A. A., Chentsov, A. G. & Chentsov, P. A., 1 Jan 2019, In : Journal of Computer and Systems Sciences International. 58, 1, p. 113-125 13 p.

Research output: Contribution to journalArticleResearchpeer-review

Heuristic methods
Routing Problem
Iterative methods
Dynamic programming
Personal computers

Some Properties of Ultrafilters of Widely Understood Measurable Spaces

Chentsov, A. G., 1 May 2019, In : Doklady Mathematics. 99, 3, p. 255-259 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Measurable space
Ultrafilter
Topology
Bitopological Space
Stone Space

The Programmed Iteration Method in a Game Problem of Realizing Trajectories in a Function Set

Chentsov, A. G., 1 Jan 2019, In : Proceedings of the Steklov Institute of Mathematics. 304, 1, p. 292-308 17 p.

Research output: Contribution to journalArticleResearchpeer-review

Iteration Method
Trajectory
Game
Set of vectors
Uniform Boundedness
Measurable space
Ultrafilter
Topology
Bitopological Space
Filter
Ultrafilter
Measurable space
Topology
Closed set
Bitopological Space
Neutral Type
Inverse Problem
Stabilization
Exact Solution
System of Differential Equations
2018

A Discrete–Continuous Routing Problem with Precedence Constraints

Chentsov, A. A. & Chentsov, A. G., 1 Apr 2018, In : Proceedings of the Steklov Institute of Mathematics. 300, p. 56-71 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Precedence Constraints
Routing Problem
Closed set
Extremum
Cost Function

ALTRUISTIC AND AGGRESSIVE TYPES OF BEHAVIOR IN A NON-ANTAGONISTIC DIFFERENTIAL GAME

Kleimenov, A. F., 2018, In : URAL MATHEMATICAL JOURNAL. 4, 2 (7), p. 79-87

Research output: Contribution to journalArticleResearchpeer-review

Open Access

Altruistic and Aggressive Types of Behavior in a Non-Antagonistic Positional Differential Two-Person Game

Kleimenov, A. F., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 219-224 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Switches

A Maximum Principle for One Infinite Horizon Impulsive Control Problem

Khlopin, D. V., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 213-218 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Maximum principle
Trajectories
Control systems

Analysis of Economic Growth Models via Value Function Design

Bagno, A. L. & Tarasyev, A. M., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 624-629 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Economics

Bifurcation points of the generalized solution of the Hamilton-Jacobi-Bellman equation

Rodin, A. S. & Shagalova, L. G., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 866-870 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Nucleation

Construction of the Solvability Set in Differential Games with Simple Motion and Nonconvex Terminal Set

Kamneva, L. V. & Patsko, V. S., 1 Jul 2018, In : Proceedings of the Steklov Institute of Mathematics. 301, p. 57-71 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Differential Games
Solvability
Motion
Zero sum game
Geometric Constraints

Generalized a bottleneck routing problem : dynamic programming and the start point optimization

Chentsov, A. A., Chentsov, A. G. & Sesekin, A. N., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 373-377 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Dynamic programming
Trajectories
Concretes

Hamiltonian Systems in Dynamic Reconstruction Problems

Subbotina, N. N., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 136-140 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Hamiltonians
Inverse problems
Dynamical systems

Inverse Stackelberg Solutions for Games with Many Followers

Averboukh, Y., Sep 2018, In : Open Mathematics. 6, 9, 9 p., 151.

Research output: Contribution to journalArticleResearchpeer-review

Open Access

Maximal Linked Systems and Ultrafilters in Abstract Attainability Problem

Chentsov, A. G., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 239-244 6 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Model of megalopolises in the tool path optimisation for CNC plate cutting machines

Chentsov, A. G., Chentsov, P. A., Petunin, A. A. & Sesekin, A. N., 18 Jul 2018, In : International Journal of Production Research. 56, 14, p. 4819-4830 12 p.

Research output: Contribution to journalArticleResearchpeer-review

Dynamic programming
Cost functions
Cutting machine
Discretization
Cost function
1 Citation (Scopus)

Numerical Construction of Stackelberg Solutions in a Linear Positional Differential Game Based on the Method of Polyhedra

Kuvshinov, D. R. & Osipov, S. I., 1 Mar 2018, In : Automation and Remote Control. 79, 3, p. 479-491 13 p.

Research output: Contribution to journalArticleResearchpeer-review

On Stability of Linear Systems with Impulsive Action at the Matrix

Zhelonkina, N. I. & Sesekin, A. N., 1 May 2018, In : Journal of Mathematical Sciences (United States). 230, 5, p. 673-676 4 p.

Research output: Contribution to journalArticleResearchpeer-review

Asymptotic stability
Linear systems
Linear Systems
Stability of Solutions
Asymptotic Stability

Optimal control of the fuel reload mechanism

Dolgii, Y. F., Sesekin, A. N., Tashlykov, O. L. & Zaynullina, E. Z., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 636-641 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Nuclear fuels
Nuclear power plants
Neutrons
Optimization
Routing Problem
Costs
Dynamic programming
Cost functions
1 Citation (Scopus)

Programmed Iteration Method in Differential Games with a Functional Target Set

Chentsov, A. G., 1 Jul 2018, In : Doklady Mathematics. 98, 1, p. 308-312 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Differential Games
Iteration Method
Target
Open-loop Control
Solvability Conditions

Solving a routing problem with the aid of an independent computations scheme

Chentsov, A. G., Grigoryev, A. M. & Chentsov, A. A., 1 Feb 2018, In : Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 11, 1, p. 60-74 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Routing Problem
Radiation
Cost functions
Cost Function
Supercomputers
Infinite Horizon
Value Function
Optimal Control Problem
Minimax
Financial Modeling

Target problem for mean field type differential game

Averboukh, Y., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 654-658 5 p.

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Tauberian Theorem for Value Functions

Khlopin, D., 1 Jun 2018, In : Dynamic Games and Applications. 8, 2, p. 401-422 22 p.

Research output: Contribution to journalArticleResearchpeer-review

Tauberian theorem
Value Function
Dynamic Programming Principle
Dynamic programming
Tend
1 Citation (Scopus)

The value function in a problem of chemotherapy of a malignant tumor growing according to the Gompertz law

Subbotina, N. N. & Novoselova, N. G., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 855-860 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Chemotherapy
Tumors
Cells
1 Citation (Scopus)

Viability Theorem for Deterministic Mean Field Type Control Systems

Averboukh, Y., 1 Dec 2018, In : Set-Valued and Variational Analysis. 26, 4, p. 993-1008 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Type Systems
Viability
Mean Field
Control System
Control systems
Open Access
Economic Growth
Value Function
Minimax
Optimal Control Problem
Asymptotic Behavior
Bottleneck Problem
Routing Problem
Dynamic programming
Dynamic Programming
Agglomeration
Trajectories
Data storage equipment
Reachable Set
Radius
Straight Line
Nonlinear Control Systems
Motion