Use finite family of multivalued maps for constructing stable absorption operator

Abstract

The differential game of pursuit-evasion over a fixed time segment is considered.
the problem of construction of the stable absorption operator of control
system is investigated. The attainability sets is appointed with the help of
the stable absorption operator. The partition of the conjugate space on the finite
regions of convexity of Hamiltonian is used for constructing stable absorption
operator.