DocumentCode :
814645
Title :
A class of differential games with two pursuers versus one evader
Author :
Foley, Michael H. ; Schmitendorf, William E., III
Author_Institution :
University of Portland, Portland, Oregon, USA
Volume :
19
Issue :
3
fYear :
1974
fDate :
6/1/1974 12:00:00 AM
Firstpage :
239
Lastpage :
243
Abstract :
A class of differential games with two pursuers versus one evader is investigated for Nash equilibrium solutions. The solutions show that the state space can be partitioned into the following three regions: 1) the evader, 
, plays a two-player, nonzero-sum differential game against one of the two pursuers, 
, and ignores the other pursuer, 
; 2) the evader plays a two-player, nonzero-sum differential game against and ignores ; and 3) the evader plays against both of the pursuers. A specific example is examined to illustrate how the theory can be applied.
, plays a two-player, nonzero-sum differential game against one of the two pursuers, , and ignores the other pursuer, ; 2) the evader plays a two-player, nonzero-sum differential game against and ignores ; and 3) the evader plays against both of the pursuers. A specific example is examined to illustrate how the theory can be applied.Keywords :
Differential games; Control systems; Cost function; Estimation theory; Iterative algorithms; Nash equilibrium; Open loop systems; Optimal control; State estimation; State-space methods; Stochastic processes;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1974.1100561
Filename :
1100561
Link To Document :
