Feedback strategies with finite memory in differential games

1979 ◽  
Vol 27 (1) ◽  
pp. 127-134 ◽  
Author(s):  
E. O. Roxin
2003 ◽  
Vol 05 (02) ◽  
pp. 167-189 ◽  
Author(s):  
Ştefan Mirică

We give complete proofs to the verification theorems announced recently by the author for the "pairs of relatively optimal feedback strategies" of an autonomous differential game. These concepts are considered to describe the possibly optimal solutions of a differential game while the corresponding value functions are used as "instruments" for proving the relative optimality and also as "auxiliary characteristics" of the differential game. The 6 verification theorems in the paper are proved under different regularity assumptions accompanied by suitable differential inequalities verified by the generalized derivatives, mainly of contingent type, of the value function.


1975 ◽  
Vol 6 (6) ◽  
pp. 513-532 ◽  
Author(s):  
RANGASWAMY MUKUNDAN† ◽  
WOLFGANG B. ELSNER†‡

2003 ◽  
Author(s):  
Rahul R. Desai ◽  
Anand K. Gramopadhye ◽  
Brian J. Melloy ◽  
Andrew Duchowski

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