Semigroup property of the program absorption operator in games with simple motions on the plane
Liudmila Kamneva, Valerii Semenovich Patsko · Differential Equations · 2013
The program absorption operator takes the terminal set given at the terminal time to some set defined at the initial time. For differential games with simple motions on the plane, we obtain sufficient conditions under which the semigroup property also holds in the case of a nonconvex terminal set.