IJPAM: Volume 100, No. 2 (2015)
IN RECURRENT PONTRYAGIN'S EXAMPLE
Udmurt State University
Universitetskaya st, 1, 426034, Izhevsk, RUSSIA
Abstract. We consider a generalized non-stationary Pontryagin's example under the same dynamic and inertial capabilities players and phase constraints on the state of the runaway. Boundary of phase constraints is not a "line of death" for the evader. Sufficient conditions for the capture of a group of pursuers one evader are obtained in this article.
Received: November 13, 2014
AMS Subject Classification: 49N70, 49N75, 49N90
Key Words and Phrases: differential game, group pursuit, the objective of capturing, Pontryagin's example, recurrent function
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DOI: 10.12732/ijpam.v100i2.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 263 - 278