Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
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 evade...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/748096 |
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| _version_ | 1849304858075594752 |
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| author | Gafurjan Ibragimov Yusra Salleh |
| author_facet | Gafurjan Ibragimov Yusra Salleh |
| author_sort | Gafurjan Ibragimov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3fe00fc951eb4a26aeb79c45a52b2a17 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3fe00fc951eb4a26aeb79c45a52b2a172025-08-20T03:55:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/748096748096Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of PlayersGafurjan Ibragimov0Yusra Salleh1INSPEM and Department of Mathematics, UPM, 43400 Serdang, MalaysiaINSPEM and Department of Mathematics, UPM, 43400 Serdang, MalaysiaWe 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.http://dx.doi.org/10.1155/2012/748096 |
| spellingShingle | Gafurjan Ibragimov Yusra Salleh Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players Journal of Applied Mathematics |
| title | Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players |
| title_full | Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players |
| title_fullStr | Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players |
| title_full_unstemmed | Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players |
| title_short | Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players |
| title_sort | simple motion evasion differential game of many pursuers and one evader with integral constraints on control functions of players |
| url | http://dx.doi.org/10.1155/2012/748096 |
| work_keys_str_mv | AT gafurjanibragimov simplemotionevasiondifferentialgameofmanypursuersandoneevaderwithintegralconstraintsoncontrolfunctionsofplayers AT yusrasalleh simplemotionevasiondifferentialgameofmanypursuersandoneevaderwithintegralconstraintsoncontrolfunctionsofplayers |