On optimal positional strategies in fractional optimal control problems

DOI10.1007/978-3-031-35305-5_17zbMath1528.49017OpenAlexW4381956213MaRDI QIDQ6134064

Mikhail Gomoyunov

Publication date: 21 August 2023

Published in: Mathematical Optimization Theory and Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-35305-5_17

zbMATH Keywords

optimal control problemLyapunov-Krasovskii functionalfractional differential equationpositional control strategy

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimality conditions for problems involving ordinary differential equations (49K15) Fractional ordinary differential equations (34A08)

Cites Work

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• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Strategies of minimax aiming in the direction of the quasigradient
• Differential games in fractional-order systems: inequalities for directional derivatives of the value functional
• Extremal shift to accompanying points in a positional differential game for a fractional-order system
• Strategies for aiming in the direction of invariant gradient
• Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems

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