Events

Maseeh Mathematics + Statistics Colloquium: Dr. Meir Pachter
Friday, October 12, 2018 - 3:15pm

 The Maseeh Mathematics and Statistics Colloquium Series*

presents

 

 Meir Pachter, Ph.D.

 

Department of Electrical and Computer Engineering,
Air Force Institute of Technology

 

Many-on-One-Pursuit

 

Abstract:

We consider swarm pursuit-evasion differential games in the Euclidean plane

where an evader is engaged by multiple pursuers and point capture is required.

All the players have simple motion à la Isaacs and the pursuers are faster than

the evader. It is shown that in group/swarm pursuit, when the players are in

general position, capture is effected by one, two, or by three critical pursuers,

and this irrespective of the size N (> 3) of the pursuit pack. Thus, group pursuit

devolves into pure pursuit by one of the pursuers, into a pincer movement pursuit

by two pursuers, or cornering by three pursuers, who isochronously capture the

evader, a mènage à trois. The solution of the Game of Kind is obtained and

critical pursuers are identified. Concerning the Game of Degree, the players'

state feedback optimal strategies are synthesized and the Value of the game is

derived.

 

Friday, October 12, 2018 at 3:15pm

Urban Center room 204

Light refreshments served

 

* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU. This event is free and open to the public.