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Study of a warfare differential game via dynamic programming approach

Article scientifique 2022 Anglais

Résumé

Abstract We use some recent developments in Dynamics Programming Method to obtain the complete and theoretically justified solution of a differential game formulated and studied in \cite{CHE} using the Lanchester equation. We use a certain refinement of Cauchy's Method of characteristics for stratified Hamilton-Jacobi equations to describe a large set of admissible trajectories and identify a domain on which the value function exists and is generated by a pair of admissible feedback strategies. Its optimality, is justified by using of one of the well-known verification theorems as an argument for sufficient optimality conditions. MSC Classification: 49N70 , 49N35 , 49N90 , 91A23 , 49L20 , 34A60

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Bouremani, T., Slimani, Y. (2022). Study of a warfare differential game via dynamic programming approach. https://doi.org/10.21203/rs.3.rs-2291745/v1

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Auteur(s)

Touffik Bouremani Yacine Slimani

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