Multiple Capture of Given Number of Evaders in Linear Recurrent Differential Games

Nikolay N. Petrov () and Nadezhda A. Solov’eva ()
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Nikolay N. Petrov: Udmurt State University
Nadezhda A. Solov’eva: Udmurt State University

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 1, No 18, 417-429

Abstract: Abstract The article deals with the linear pursuit problem with n pursuers and m evaders with equal opportunities for all participants and geometric restrictions on the control of players. The evaders use program strategies, and each pursuer catches no more than one evader. The goal of the pursuers is to catch a given number of evaders, and each evader needs to be caught no less than a certain number of pursuers. In this paper, sufficient conditions are obtained for multiple capture of a given number of evaders.

Keywords: Differential game; Pursuer; Evader; Recurrent function; 49N70; 49N75 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-019-01526-7

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