Stabilizable by a stable and by an inverse stable but not by - Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Our main result disproves conjectures on simultaneous stabilizability conditions by showing tha t , unlike the case of two plants, the existence of a simultaneous stabilizing controller for more than two plants is not guaranteed by the existence of a controller such that the closed loops have no real unstable poles. We include an example of a plant tha t is stabilizable by a stable controller and by a controller whose inverse is stable but not by a controller tha t is stable and has a stable inverse.