Study of a warfare differential game via dynamic programming approach

DOI10.1007/S13235-023-00523-WMaRDI QIDQ6624520

Yacine Slimani, Touffik Bouremani

Publication date: 25 October 2024

Published in: Dynamic Games and Applications (Search for Journal in Brave)

zbMATH Keywords

dynamic programmingdifferential inclusiondifferential gamevalue functionfeedback strategiesverification theoremHamiltonian flow

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Ordinary differential inclusions (34A60)

Cites Work

• Generalization of the main equation of differential game theory
• Optimal control theory
• Differential game for a class of warfare dynamic systems with reinforcement based on Lanchester equation
• Level sets of the value function in differential games with the homicidal chauffeur dynamics
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Verification Theorems for Optimal Feedback Strategies in Differential Games
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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