Control solvability of interval systems of max-separable linear equations

For a given matrix interval and a given vector interval the notation A ⊗ x = b if ⊕ = max represents an interval system of linear max-separable equations. Several types of solvability of interval systems are known. We define control solvability, weak control solvability and weak universal solvability and give necessary and sufficient condition for an interval system to be solvable according to each definition.