231 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU55 papers
- Ural Federal UniversityRU47 papers
- M.N. Mikheev Institute of Metal PhysicsRU43 papers
- Institute of Solid State ChemistryRU37 papers
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU23 papers
- Institute of MetallurgyRU21 papers
- Institute of ElectrophysicsRU19 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Kurchatov InstituteRU7 papers
- Moscow Institute of Physics and TechnologyRU7 papers
- Physico-Technical InstituteRU7 papers
- Institute for High Pressure PhysicsRU6 papers
11 papers · 1 filter
Sensitivity analysis of value functional of fractional optimal control problem with application to construction of optimal feedback control
Mikhail Gomoyunov
We consider an optimal control problem for a dynamical system described by a Caputo fractional differential equation and a terminal cost functional. We prove that, under certain as…
Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
Mikhail Gomoyunov, Anton Plaksin
In the paper, we consider a path-dependent Hamilton-Jacobi equation with coinvariant derivatives over the space of continuous functions. Such equations arise from optimal control p…
On differentiability of solutions of fractional differential equations with respect to initial data
Mikhail I. Gomoyunov
In this paper, we deal with a Cauchy problem for a nonlinear fractional differential equation with the Caputo derivative of order . As initial data, we consider a pair…
On viscosity solutions of path-dependent Hamilton--Jacobi--Bellman--Isaacs equations for fractional-order systems
Mikhail I. Gomoyunov
This paper deals with a two-person zero-sum differential game for a dynamical system described by a Caputo fractional differential equation of order and a Bolza cost…
Minimax Solutions of Hamilton--Jacobi Equations with Fractional Coinvariant Derivatives
Mikhail Gomoyunov
We consider a Cauchy problem for a Hamilton--Jacobi equation with coinvariant derivatives of an order . Such problems arise naturally in optimal control problems for d…
Path-Dependent Hamilton--Jacobi Equations: The Minimax Solutions Revised
Mikhail I. Gomoyunov, Nikolai Yu. Lukoyanov, Anton R. Plaksin
Motivated by optimal control problems and differential games for functional differential equations of retarded type, the paper deals with a Cauchy problem for a path-dependent Hami…
On representation formulas for solutions of linear differential equations with Caputo fractional derivatives
Mikhail Gomoyunov
In the paper, a linear differential equation with variable coefficients and a Caputo fractional derivative is considered. For this equation, a Cauchy problem is studied, when an in…
Solution to Zero-Sum Differential Game with Fractional Dynamics via Approximations
Mikhail Gomoyunov
The paper deals with a zero-sum differential game in which the dynamical system is described by a fractional differential equation with the Caputo derivative of an order $α\in (0,…
Fractional Derivatives of Convex Lyapunov Functions and Control Problems in Fractional Order Systems
Mikhail Gomoyunov
The paper is devoted to the development of control procedures with a guide for conflict-controlled dynamical systems described by ordinary fractional differential equations with th…
Tauberian theorem for value functions
Dmitry Khlopin
For two-person dynamic zero-sum games (both discrete and continuous settings), we investigate the limit of value functions of finite horizon games with long run average cost as the…
The transversality conditions in infinite horizon problems and the stability of adjoint variable
Khlopin Dmitry
This paper investigates the necessary conditions of optimality for uni- formly overtaking optimal control on infinite horizon with free right endpoint. Clarke's form of the Pontrya…