Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function

The term “Differential games” is applied to a group of problems in applied mathematics that share certain characteristics related to the modelling of conflict. Differential games are games in which the position of the players develops continuously in time. In a basic differential game, there are two...

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Main Author:	Salleh, Yusra
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Differential games
Online Access:	http://psasir.upm.edu.my/id/eprint/67531/1/FS%202013%2094%20IR.pdf
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id	my-upm-ir.67531
record_format	uketd_dc
spelling	my-upm-ir.675312019-03-14T02:08:24Z Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function 2013-12 Salleh, Yusra The term “Differential games” is applied to a group of problems in applied mathematics that share certain characteristics related to the modelling of conflict. Differential games are games in which the position of the players develops continuously in time. In a basic differential game, there are two actors (a pursuer and an evader) with conflicting goal. The pursuer wishes is to catch the evader, while the evader’s mission is to prevent this capture. The main steps in studying evasion games are to: 1) construct a strategy for the evader, 2) show admissibility of this strategy, 3) show that evasion is possible.For the main result, we consider evasion differential game of multiple pursuers and single evader with integral constraints in the plane R2. The game is described by simple equations. Different from constraints on control functions of other works, here, each component of the control functions of players are subjected to integral constraint. We say that evasion is possible if the state of the evader does not coincide with that of any pursuer. To construct a strategy of the evader we use controls of the pursuers with time lag. We obtained a sufficient condition of evasion from many pursuers. At the end of this thesis we provide an illustrative example. Differential games 2013-12 Thesis http://psasir.upm.edu.my/id/eprint/67531/ http://psasir.upm.edu.my/id/eprint/67531/1/FS%202013%2094%20IR.pdf text en public masters Universiti Putra Malaysia Differential games
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Differential games
spellingShingle	Differential games Salleh, Yusra Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
description	The term “Differential games” is applied to a group of problems in applied mathematics that share certain characteristics related to the modelling of conflict. Differential games are games in which the position of the players develops continuously in time. In a basic differential game, there are two actors (a pursuer and an evader) with conflicting goal. The pursuer wishes is to catch the evader, while the evader’s mission is to prevent this capture. The main steps in studying evasion games are to: 1) construct a strategy for the evader, 2) show admissibility of this strategy, 3) show that evasion is possible.For the main result, we consider evasion differential game of multiple pursuers and single evader with integral constraints in the plane R2. The game is described by simple equations. Different from constraints on control functions of other works, here, each component of the control functions of players are subjected to integral constraint. We say that evasion is possible if the state of the evader does not coincide with that of any pursuer. To construct a strategy of the evader we use controls of the pursuers with time lag. We obtained a sufficient condition of evasion from many pursuers. At the end of this thesis we provide an illustrative example.
format	Thesis
qualification_level	Master's degree
author	Salleh, Yusra
author_facet	Salleh, Yusra
author_sort	Salleh, Yusra
title	Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
title_short	Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
title_full	Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
title_fullStr	Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
title_full_unstemmed	Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
title_sort	simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function
granting_institution	Universiti Putra Malaysia
publishDate	2013
url	http://psasir.upm.edu.my/id/eprint/67531/1/FS%202013%2094%20IR.pdf
_version_	1747812481099628544

Simple motion evasion differential game of multiple pursuers and single evader with integral constraints on control function

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