Simple linear pursuit-evasion games
A pursuit-evasion closed-loop qualitative game for a system \(\dot x=Ax+Bu+Cv\), \(u\in U\), \(v\in V\) (U and V are compacta) where \(\min_ u\max_ v\ell F(s)(Bu+Cv)\) (F(s) is the fundamental matrix) does not depend on \(\ell\), \(\| \ell \| =1\), and terminal set \(\{\) \(x: \| Dx\| \leq a\}\) is reduced to a family of games with terminal payoffs \(J=\| Dx(T)\|\). As an example, a solution of the isotropic rocket game is given.
pursuit-evasion closed-loop qualitative game
scientific article; zbMATH DE number 4029318