Reachability for discrete-time dynamical set-valued systems depending on a parameter
Phạm Hữu Sách · Optimization · 2000
Let P be a topological spaceX a reflexive Banach space and F p X →X a set-valued map depending on a parameter pϵ P This paper gives conditions under which, for any p sufficiently close to a fixed value p o the following discrete-time dynamical system is reachable or locally reachable. Here reachability property (resp. local reachability property) means that X = R p (resp. 0 ϵ intRp ) where Rp denotes the set of all points u ϵX such that there is a trajectory of the above system starting from the origin and reaching u