Stabilization in H ∞ R ( D )
نویسندگان
چکیده
It is shown that for H∞ R (D) functions f1 and f2 with inf z∈D (|f1(z)|+ |f2(z)|) ≥ δ > 0 and f1 being positive on the real zeros of f2, then there exists H∞ R (D) functions g2 and g1, g−1 1 with norm controlled by a constant depending only on δ and g1f1 + g2f2 = 1 ∀z ∈ D. These results are connected to the computation of the stable rank of the algebra H∞ R (D) and to results in Control Theory.
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تاریخ انتشار 2006