A relation between coprime fractions and the gap metric is presented. Using this result we provide some sufficient conditions for robust BIBO stabilization for a wide class of systems. These conditions allow the plant and the compensator to be disturbed simultaneously.
Zhu, S. Q., Hautus, M. L. J., & Praagman, C. (1988). Sufficient conditions for robust BIBO stabilization : given by the gap metric. Systems and Control Letters, 11(1), 53-59. https://doi.org/10.1016/0167-6911(88)90111-9