In this paper we present sufficient conditions for the existence of a bounded real rational unit in H∞ to exactly interpolate to points in the right half plane (RHP). It is shown that these sufficient conditions are equivalent to the necessary and sufficient conditions for the existence of a bounded real irrational unit in H∞ to interpolate to points in the RHP, as initially described by Tannenbaum (1980, 1982). The technique is then applied to the simultaneous stabilization problem.
Proceedings of the 34th IEEE Conference on Decision and Control
Chaos, Interpolation, Polynomials
Abdallah, Chaouki T.; Mike Bredemann; and Peter Dorato. "Interpolation with bounded real rational units with applications to simultaneous stabilization." Proceedings of the 34th IEEE Conference on Decision and Control (1995): 4267-4272. doi:10.1109/CDC.1995.478910.