Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints

DOI10.20537/VM170302zbMath1391.49073OpenAlexW2767894695MaRDI QIDQ4641617

A. S. Bannikov

Publication date: 18 May 2018

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/vm170302

zbMATH Keywords

differential gamesCaputo derivativeescapesimple matrix

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (6)

Extremal shift to accompanying points in a positional differential game for a fractional-order system ⋮ Linear group pursuit problem with fractional derivatives, simple matrices, and different possibilities of players ⋮ A linear group pursuit problem with fractional derivatives and different player capabilities ⋮ Differential games in fractional-order systems: inequalities for directional derivatives of the value functional ⋮ Solution to a zero-sum differential game with fractional dynamics via approximations ⋮ Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix

Cites Work

• Distribution of roots of Mittag-Leffler functions
• A randomized Kaczmarz algorithm with exponential convergence
• One problem of group pursuit with fractional derivatives and phase constraints
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