Extremal shift to accompanying points in a positional differential game for a fractional-order system

DOI10.1134/S0081543820020078zbMath1444.91038OpenAlexW3030654313MaRDI QIDQ2185788

Mikhail Gomoyunov

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820020078

zbMATH Keywords

differential gameCaputo derivativefractional-order differential equationextremal shiftgame valuepositional strategycounterstrategy

Mathematics Subject Classification ID

2-person games (91A05) Fractional derivatives and integrals (26A33) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (9)

MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES ⋮ On optimal positional strategies in fractional optimal control problems ⋮ On linear-quadratic differential games for fractional-order systems ⋮ Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls ⋮ To the theory of differential inclusions with Caputo fractional derivatives ⋮ Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems ⋮ Optimal control problems with a fixed terminal time in linear fractional-order systems ⋮ Differential games in fractional-order systems: inequalities for directional derivatives of the value functional ⋮ On differentiability of solutions of fractional differential equations with respect to initial data

Cites Work

• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Asymptotic behavior of solutions of linear multi-order fractional differential systems
• Hamilton-Jacobi functional equations and differential games for neutral-type systems
• Generalized Gronwall inequalities and their applications to fractional differential equations
• Krasovskii-Subbotin approach to mean field type differential games
• Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems
• Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints
• Riemann–Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games
• On the existence of solutions of fractional integro-differential equations
• One problem of group pursuit with fractional derivatives and phase constraints
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