Article

A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader

Askar RakhmanovDepartment of Informatics, Tashkent University of Information Technologies, 100202, TUIT, Amir Temur str., 108, Tashkent, UzbekistanGafurjan IbragimovInstitute for Mathematical Research & Department of Mathematics, FS, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

AIP conference proceedingsjournal2016en

ABI

Abstract

We consider a simple motion pursuit differential game of one pursuer and one evader. Control of the pursuer is subjected to integral constraint, and that of the evader is subjected to geometric constraint. More precisely, value of control parameter of the evader belongs to a given convex subset of ℝn. Pursuit is completed if the evader becomes in l vicinity of the pursuer. Sufficient conditions of completion of pursuit are obtained.

Topics

Guidance and Control Systems Stability and Controllability of Differential Equations Quantum chaos and dynamical systems

Identifiers

DOI: 10.1063/1.4952543

Citations and references

Cited by 1 13 references

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