THE CASE OF STRUCTURED UNCERTAINTIES
Ді is now a mixed model perturbation. The following Lemma is essentially a combination of Lemmas 2..1 (chapter 5) and 2..1.
LEMMA 2..3 Let Dand Gsome (D, G) scaling matrices associated to Ai (see equation (5.16)). Let Fi = 7 + Gf. Т/тхд^Мгг) < a and:
max a(Ff1/4(AF,(M, Д2)А-1 ~ jGi)Ffl/4) < 1 (8.12)
дзЄІВД2
then v{M) < a.
Proof of Lemma 2..3: Using Lemma 2..1 of chapter 5, simply note that equation (8.12) implies:
(8.13)