Article

Multi-pursuer pursuit differential game for an infinite system of second order differential equations

Ruzakhon KazimirovaUniversiti Putra Malaysia; Andijan State UniversityGafurjan IbragimovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences; V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of SciencesRisman Mat HasimUniversity Putra Malaysia

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Naukijournal2024en

ABI

Abstract

We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of $m$ inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a condition of completion of pursuit is also called soft landing. We obtain a condition in terms of energies of players which is sufficient for completion of pursuit in the game. The pursuit strategies are also constructed.

Topics

Guidance and Control Systems Quantum chaos and dynamical systems Aquatic and Environmental Studies

Identifiers

DOI: 10.35634/vm240104

Citations and references

Cited by 034 references

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