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We develop a new numerical method for approximating the infinite timereachable set of strictly stable linear control systems. By solving a linearprogram with a constraint that incorporates the system dynamics, we compute apolytope with fixed facet normals as an outer approximation of the limit set.In particular, this approach does not rely on forward iteration of finite-timereachable sets.

A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems