Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players

Autor:	Gafurjan Ibragimov, Yusra Salleh
Rok vydání:	2012
Předmět:	Mathematical optimization Article Subject lcsh:Mathematics Applied Mathematics Lag Motion (geometry) Pursuer State (functional analysis) lcsh:QA1-939 Evasion (ethics) Constraint (information theory) Simple (abstract algebra) Control theory Differential game human activities Mathematics
Zdroj:	Journal of Applied Mathematics, Vol 2012 (2012) J. Appl. Math.
ISSN:	1687-0042 1110-757X
Popis:	We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f0c7d2f556d13b51d3223c725d4bd6d https://doi.org/10.1155/2012/748096 Zobrazit plný text záznamu Plný text ve formátu PDF