Semi-global H∞ state feedback control

Semi-global set-stabilizing H
∞
control is local H
∞
control within some given compact set Ω such that all state trajectories are bounded inside Ω. and are approaching an open loop invariant set S ⊂ Ω as t → ∞. Sufficient conditions for the existence of a continuous state feedback law are given, based on a new theorem.