The method of resolving functions for solving a pursuit problem with integral constraints on player controls-Reference-Cited by-同舟云学术

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

Published:2023-03 Issue:1 Volume:33 Page:103-118
ISSN:2076-5959
Container-title:Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
language:en
Short-container-title:

Author:

Mamadaliev N.A.¹,Mustapokulov Kh.Ya.²,Abdualimova G.M.³

Affiliation:

1. National University of Uzbekistan named after Mirzo Ulugbek; Institute of Mathematics named after V.I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan

2. National University of Uzbekistan named after Mirzo Ulugbek; Tashkent State Technical University named after I. Karimov

3. Andijan State University

Abstract

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.

Publisher

Udmurt State University

Subject

Fluid Flow and Transfer Processes,General Mathematics,General Computer Science

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On two problems of pursuit of a group of evaders in differential games with fractional derivatives;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2024-03

2. Pursuit Problem for Differential-Difference Equations of Neutral Type;Journal of Mathematical Sciences;2023-12