1986
DOI: 10.1007/bf01600068
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A note on the genericity of simultaneous stabilizability and pole assignability

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Cited by 6 publications
(2 citation statements)
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“…for some integer M and scalar functions c j (θ, θ ). Notice now that, under assumption A1, the greatest common divisor of the two polynomials a(s, [30,Lemma 3] and conclude that for any θ = θ there exists at least one K i (actually infinitely many) such that the two characteristic polynomials ϕ i (s, θ) and ϕ i (s, θ ) are coprime, i.e., such that their resultant R i (θ, θ ) is different from zero. This, in turn, implies that, for any θ = θ , the vector c(θ, θ ) = [c M (θ, θ ), .…”
Section: B Design Considerationsmentioning
confidence: 95%
“…for some integer M and scalar functions c j (θ, θ ). Notice now that, under assumption A1, the greatest common divisor of the two polynomials a(s, [30,Lemma 3] and conclude that for any θ = θ there exists at least one K i (actually infinitely many) such that the two characteristic polynomials ϕ i (s, θ) and ϕ i (s, θ ) are coprime, i.e., such that their resultant R i (θ, θ ) is different from zero. This, in turn, implies that, for any θ = θ , the vector c(θ, θ ) = [c M (θ, θ ), .…”
Section: B Design Considerationsmentioning
confidence: 95%
“…The general results given here were first obtained by Ghosh and Byrnes [43] using state-space methods. The present treatment follows [100].…”
Section: Notes and Referencesmentioning
confidence: 99%