• 28 Citations
  • 3 h-Index
20132019
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Research Output 2013 2019

  • 28 Citations
  • 3 h-Index
  • 29 Article
  • 1 Chapter
  • 1 Conference contribution
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Article
2019
1 Citation (Scopus)

Approximation of fractional order conflict-controlled systems

Gomoyunov, M., 1 Jan 2019, In : Progress in Fractional Differentiation and Applications. 5, 2, p. 143-155 13 p.

Research output: Contribution to journalArticleResearchpeer-review

Fractional Order
Differential equations
Approximation
Dynamical systems
Derivatives

Differential Games on Minmax of the Positional Quality Index

Lukoyanov, N. & Gomoyunov, M., 15 Sep 2019, In : Dynamic Games and Applications. 9, 3, p. 780-799 20 p.

Research output: Contribution to journalArticleResearchpeer-review

Differential Games
Min-max
Dynamical systems
Positional Games
Zero-sum
1 Citation (Scopus)

On a Solution of a Guarantee Optimization Problem Under the Functional Constraints on the Disturbance

Gomoyunov, M. & Serkov, D., 15 Sep 2019, In : Dynamic Games and Applications. 9, 3, p. 700-723 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Disturbance
Optimization Problem
Geometric Constraints
Nonlinear Ordinary Differential Equations
Optimal Strategy

On Basic Equation of Differential Games for Neutral-Type Systems

Gomoyunov, M. I. & Plaksin, A. R., 1 Mar 2019, In : Mechanics of Solids. 54, 2, p. 131-143 13 p.

Research output: Contribution to journalArticleResearchpeer-review

differential games
Hamilton-Jacobi equation
Derivatives
Cauchy problem
games
2018
4 Citations (Scopus)

Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems

Gomoyunov, M. I., 25 Oct 2018, In : Fractional Calculus and Applied Analysis. 21, 5, p. 1238-1261 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Fractional-order System
Fractional Derivative
Lyapunov functions
Lyapunov Function
Convex function
1 Citation (Scopus)

On Hamilton-Jacobi equations for neutral-type differential games

Gomoyunov, M. & Plaksin, A., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 14, p. 171-176 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Dynamical systems
Differential equations
Derivatives
3 Citations (Scopus)

On the Numerical Solution of Differential Games for Neutral-Type Linear Systems

Gomoyunov, M. I. & Lukoyanov, N. Y., 1 Jul 2018, In : Proceedings of the Steklov Institute of Mathematics. 301, p. 44-56 13 p.

Research output: Contribution to journalArticleResearchpeer-review

Neutral Type
Differential Games
Type Systems
Linear Systems
Numerical Solution

On the Stability of a Solution of a Guarantee Optimization Problem under a Functional Constraint on the Disturbance

Gomoyunov, M. I., Karandina, V. O., Mezentsev, I. P. & Serkov, D. A., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 228-233 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Dynamical systems
Computer simulation

Traversing Target Points Under Lack of Information : A Game-Theoretical Approach

Lukoyanov, N. Y. & Gomoyunov, M. I., 1 Jan 2018, In : IFAC-PapersOnLine. 51, 32, p. 262-266 5 p.

Research output: Contribution to journalArticleResearchpeer-review

Computer simulation
2017
2 Citations (Scopus)
Disturbance
Optimization Problem
Performance Index
Game
Geometric Constraints
5 Citations (Scopus)
Positional Games
Neutral Systems
Neutral Type
Differential Games
Saddlepoint

Finite-dimensional approximations of neutral-type conflict-controlled systems

Gomoyunov, M. & Plaksin, A., 1 Jul 2017, In : IFAC-PapersOnLine. 50, 1, p. 5109-5114 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Dynamical systems
Ordinary differential equations
Differential equations
2 Citations (Scopus)

Hamilton–Jacobi functional equations and differential games for neutral-type systems

Lukoyanov, N. Y., Gomoyunov, M. I. & Plaksin, A. R., 1 Nov 2017, In : Doklady Mathematics. 96, 3, p. 654-657 4 p.

Research output: Contribution to journalArticleResearchpeer-review

Neutral Systems
Neutral Type
Differential Games
Hamilton-Jacobi Equation
Optimal Strategy
Open Access
Finite-dimensional Approximation
Neutral Type
Motion
Functional Differential Equations
Dynamical system
2016

ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES

Gomoyunov, M. I. & Kornev, D. V., 2016, In : URAL MATHEMATICAL JOURNAL. 2, 1(2), p. 38-47 10 p.

Research output: Contribution to journalArticleResearchpeer-review

Feedback control
Dynamical systems
Computer simulation
2015
2 Citations (Scopus)

On the numerical solution of a minimax control problem with a positional functional

Gomoyunov, M. I., Kornev, D. V. & Lukoyanov, N. Y., 1 Dec 2015, In : Proceedings of the Steklov Institute of Mathematics. 291, p. 77-95 19 p.

Research output: Contribution to journalArticleResearchpeer-review

Minimax Problems
Control Problem
Numerical Solution
Minimax
Positional Games
4 Citations (Scopus)

On the Stability of a Procedure for Solving a Minimax Control Problem for a Positional Functional

Gomoyunov, M. I. & Lukoyanov, N. Y., Apr 2015, In : Proceedings of the Steklov Institute of Mathematics. 288, p. 54-69 16 p.

Research output: Contribution to journalArticleResearchpeer-review

2014
1 Citation (Scopus)

Game theory applications to guarantee optimization in dynamical systems with control delays

Gomoyunov, M., Kornev, D. & Lukoyanov, N., 1 Jan 2014, In : International Game Theory Review. 16, 2

Research output: Contribution to journalArticleResearchpeer-review

Game theory
Game Theory
Dynamical systems
Dynamical system
Optimization

Solution procedure for a problem of dynamical optimization with control delays

Gomoyunov, M., 1 Jan 2014, In : IFAC Proceedings Volumes (IFAC-PapersOnline). 19, p. 633-638 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Min-max Problem
Control Problem
Numerical Solution
Min-max
Positional Games
2013
Feedback control
Dynamical systems
Computer simulation