Menu: Home :: go to Journal :: switch to Russian :: switch to English
You are here: all Journals and Issues→ Journal→ Issue→ Article

ON CORRELATION OF TWO EVASION PROBLEMS WITH MANY EVADERS

Annotation

There is considered the problem of conflict interaction of pursuers’ and evaders’ groups, provided that among the pursuers there are participants whose capabilities are not inferior to the opportunities of evaders as well as participants with fewer opportunities. It is proved that if in the game with equal opportunities for pursuers and evaders evasion of at least one evader on an infinite interval of time occurs, then with the addition of pursuers with fewer opportunities, the evasion of at least one evader is happening on any finite time interval.

Keywords

differential game; group pursuit; pursuer; evader; the price of game

Full-text in one file

Download

UDC

517.977.8

Pages

1353-1355

References

1. Blagodatskih A.I., Petrov N.N. Konfliktnoe vzaimodejstvie grupp upravljaemyh ob#ektov. Izhevsk: Izd-vo Udmurtsk. un-ta, 2009. 2. Zak V.L. Zadacha uklonenija ot mnogih presledovatelej pri nalichii fazovogo ogranichenija // DAN SSSR. Moskva, 1982. T. 265. № 5. S. 1051-1053. 3. Petrov N.N., Petrov N.Nikandr. O differencial'noj igre .kazaki-razbojniki. // Differenc. uravnenija. 1983. T. 19. № 8. S. 1366-1374.

Received

2015-06-09

Section of issue

Scientific articles

Для корректной работы сайта используйте один из современных браузеров. Например, Firefox 55, Chrome 60 или более новые.