NDLI: Numerical control optimization methods in one pursuit-evasion problem

Content Provider	Springer Nature Link
Author	Utemov, A. E.
Copyright Year	2006
Abstract	This paper is devoted to the construction and study of different numerical suboptimal strategies of the pursuing player in a nonlinear three-dimensional pursuit-evasion game problem. The dynamics of the objects correspond to the known game of two cars [1]. The distinction of this problem from those considered before is the cost function structure, which contains the angular position of the velocity vectors with respect to the line of sight in addition to the distance between the players. In order to construct the numerical strategies of the pursuing player, we use the results of [2–6], where the elements of optimal control for simplified problems are obtained by using the Pontryagin maximum principle and the basic Isaacs-Bellman equation. On the basis of the strategies presented, we propose the algorithm for numerical construction of a suboptimal synthesis in the entire phase space of the initial problem. This algorithm follows an idea formulated in [7]. The numerical results of the suboptimal synthesis in a certain subdomain of the phase space are performed for some specified values of the parameters.
Starting Page	395
Ending Page	412
Page Count	18
File Format	PDF
ISSN	10642307
Journal	Journal of Computer and Systems Sciences International
Volume Number	45
Issue Number	3
e-ISSN	15556530
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2006-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control Engineering
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software

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