Semipermeable directions in linear differential games
نویسندگان
چکیده
منابع مشابه
Families of semipermeable curves in differential games with the homicidal chauffeur dynamics
Families of semipermeable curves in differential games with the homicidal chauffeur dynamics are studied both from theoretical and computational points of view. The knowledge of such families is very useful because semipermeable curves bound capture sets in games of kind. They can also appear as barrier lines on which value functions of time-optimal differential games are discontinuous. Two exa...
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Examples with zero-sum linear differential games of fixed terminal time and a convex terminal payoff function depending on two components of the phase vector are considered. Such games can have an indifferent zone with constant value function. The level set of the value function associated with the indifferent zone is called the “critical” tube. In the selected examples, the critical tube and t...
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A classical and a modified (acoustic) variants of the differential game “homicidal chauffeur” are considered. An interesting peculiarity of the letter variant consists, in particular, in the presence of holes located strictly inside the victory domain of the pursuit-evasion game. In the paper, an explanation to this phenomenon is given. The explanation is based on an analysis of families of sem...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90159-0