A technical or physical system is often described by a linear system. An important magnitude is the so called relative
degree. The state-feedback of a linear, time-variant, single-input single-output minimum phase system with a positive
high-frequency gain is often served by a so called proportional feedback. In the present paper is shown, that this kind
of feedback can not stabilize high-order systems. It is developed a novel class of high-gain, parameter-dependent
dynamic compensators that, under certain assumptions on the model of the system, stabilize single-input single-output
minimum phase systems with a positive high-frequency gain. These compensators have a form, which need the exactly
relative degree. - The relative degree is often not exactly known for a model of a technical or physical system. An
important question is how robust this novel class is under disturbances of the relative degree. This question can be
answered and it can be shown the relative degree must be exactly known to stabilize the system. This was the basis to
develop a second novel class of high-gain, parameter-dependent dynamic compensators for single-input single-output
minimum phase systems with unknown-but-bounded relative degree. - The main result of this work is, under certain
assumptions on the model of the system and the both classes of compensators, parameter-monotonic adaptive
stabilization of single-input single-output minimum phase systems. The parameter-monotonic adaptive law
incorporates an exponentially decaying factor, which has no counterpart in the literature.