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
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