Guaranteed result in a differential game of group pursuit with terminal payoff function

✍ Scribed by I.S. Rappoport; A.A. Chikrii

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 637 KB
• Volume: 61
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(97)00074-9

✦ Synopsis

A method is proposed for solving a differential game of group pursuit with a terminal payoff function, consisting of the systematic utilization of the idea of Fenchel-Moreau duality [l] applied to the general scheme of the resolving function method [2]. It is shown that if the parameters of a quasi-linear control process and terminal payoff function satisfy certain sufficient conditions, the group pursuit will come to a successful end. The guaranteed termination time is determined on the basis of information about the initial state of the process and the prehistory of the evader's control. The results are illustrated for a model example.