Optimization of game interaction of fractional-order controlled systems

DOI10.1080/10556780701281309zbMath1133.91323OpenAlexW1994395040MaRDI QIDQ5459817

A. A. Chikrii

Publication date: 29 April 2008

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780701281309

zbMATH Keywords

Mittag-Leffler functionset-valued mappingfractional derivativePontryagin's conditiongame problem

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Fractional derivatives and integrals (26A33)

Related Items (13)

Sufficient conditions of approach of controlled objects in dynamic game problems. II ⋮ Resolving-functions method for game problems of control with integral constraints ⋮ The problem of approach of controlled objects in dynamic game problems with a terminal payoff function ⋮ Developing B. N. Pshenichnyi's scientific ideas in optimization and mathematical control theory ⋮ Game problems for fractional-order linear systems ⋮ An analytical method in dynamic pursuit games ⋮ Method of resolving functions in the theory of conflict-controlled processes ⋮ Matrix resolving functions in dynamic games of approach ⋮ Motion game control under temporary failure of control unit ⋮ Sufficient conditions of approach of controlled objects in dynamic game problems. I ⋮ Non-stationary differential-difference games of neutral type ⋮ Game approach problems for dynamic processes with impulse controls ⋮ Group Pursuit Differential Games with Pure Time-Lag

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Game problems for fractional quasilinear systems.
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