A numerical solution method is proposed for the pursuit-and-evasion game in which the terminal set is the sum of a two-dimensional convex compactum and a linear subspace of codimension 2. The "convexification method" is applied to compute the alternated sums. Simple switching lines are constructed for the case when the set of constraints on pursuer controls is a polyhedron. These simple switching lines essentially simplify the construction of a pursuit strategy in the convex programming problem.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.