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 |
| Published: |
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 |
| Summary: | 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. |
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