求解带有玩家控制的积分约束的追踪问题的函数的方法

IF 0.6 Q3 MATHEMATICS

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki Pub Date : 2023-03-01 DOI:10.35634/vm230107

N. Mamadaliev, K. Mustapokulov, G. M. Abdualimova

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引用次数: 0

摘要

本文研究了在玩家控制的积分约束下，由一类时滞参数方程组描述的追逐博弈问题。该方案采用了函数解析法的思想。在对玩家的控制施加积分约束的情况下，提出了对追踪方法(即第一种和所谓的第三种方法)[1,3,12]的修改。得到了在有限时间内完成追踪的充分条件。

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The method of resolving functions for solving a pursuit problem with integral constraints on player controls

In this paper, we study pursuit game problems described by a system of equations with a retarded argument under integral constraints on the players' controls. The proposed scheme uses the ideas of the method of resolving functions. Modifications of methods (i.e., the first and so-called third methods) [1,3,12] of pursuit are proposed in the case when integral constraints are imposed on the players' controls. Sufficient conditions are obtained for the possibility of completing the pursuit in a finite time.

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来源期刊

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki MATHEMATICS-

CiteScore

1.20

自引率

40.00%

发文量