A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36236/ http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf |
| _version_ | 1848848275962068992 |
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| author | Ibragimov, Gafurjan Tukhtasinov, Muminjon Mat Hasim, Risman Alias, Idham Arif |
| author_facet | Ibragimov, Gafurjan Tukhtasinov, Muminjon Mat Hasim, Risman Alias, Idham Arif |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given. |
| first_indexed | 2025-11-15T09:31:55Z |
| format | Article |
| id | upm-36236 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:55Z |
| publishDate | 2015 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-362362015-08-30T10:06:43Z http://psasir.upm.edu.my/id/eprint/36236/ A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions Ibragimov, Gafurjan Tukhtasinov, Muminjon Mat Hasim, Risman Alias, Idham Arif We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given. Institute for Mathematical Research, Universiti Putra Malaysia 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf Ibragimov, Gafurjan and Tukhtasinov, Muminjon and Mat Hasim, Risman and Alias, Idham Arif (2015) A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 67-76. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9/5.%20gafurjan%20et%20al.pdf |
| spellingShingle | Ibragimov, Gafurjan Tukhtasinov, Muminjon Mat Hasim, Risman Alias, Idham Arif A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title | A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title_full | A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title_fullStr | A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title_full_unstemmed | A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title_short | A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| title_sort | pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions |
| url | http://psasir.upm.edu.my/id/eprint/36236/ http://psasir.upm.edu.my/id/eprint/36236/ http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf |