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- Title
Linear evasion differential game of one evader and several pursuers with integral constraints.
- Authors
Ibragimov, Gafurjan; Ferrara, Massimiliano; Ruziboev, Marks; Pansera, Bruno Antonio
- Abstract
An evasion differential game of one evader and many pursuers is studied. The dynamics of state variables x 1 , ... , x m are described by linear differential equations. The control functions of players are subjected to integral constraints. If x i (t) ≠ 0 for all i ∈ { 1 , ... , m } and t ≥ 0 , then we say that evasion is possible. It is assumed that the total energy of pursuers doesn't exceed the energy of evader. We construct an evasion strategy and prove that for any positive integer m evasion is possible.
- Subjects
DIFFERENTIAL games; INTEGRALS
- Publication
International Journal of Game Theory, 2021, Vol 50, Issue 3, p729
- ISSN
0020-7276
- Publication type
Article
- DOI
10.1007/s00182-021-00760-6