Considered in this paper is the problem of maximization of tolerable disturbances in the presence of hard time-domain constraints on system states and the input for a class of linear time-invariant single-input single-output uncertain systems. In particular, a methodology proposed by the authors is extended to include non-minimum phase and/or unstable systems. An inner-outer factorization separates a nominal minimum phase transfer function from the uncertain plant set thus facilitating the generation of the required frequency domain design region. In dealing with unstable systems, an intermediate prestabilization step may become necessary.