Article

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

N. MamadalievNational University of Uzbekistan named after Mirzo Ulugbek; Institute of Mathematics named after V.I. Romanovsky of the Academy of Sciences of the Republic of UzbekistanKh.Ya. MustapokulovNational University of Uzbekistan named after Mirzo Ulugbek; Tashkent State Technical University named after I. KarimovGulzurakhon Mirzakomilovna AbdualimovaAndijan State University

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Naukijournal2023en

ABI

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.

Topics

Guidance and Control Systems Aquatic and Environmental Studies Advanced Differential Equations and Dynamical Systems

Identifiers

DOI: 10.35634/vm230107

Citations and references

Cited by 1 24 references

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