IJPAM: Volume 100, No. 2 (2015)

GROUP PURSUIT WITH PHASE CONSTRAINTS
IN RECURRENT PONTRYAGIN'S EXAMPLE

N.N. Petrov$^1$, N.A. Solov'eva$^2$
$^{1,2}$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
Year: 2015
Volume: 100
Issue: 2
Pages: 263 - 278


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