Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...

A sufficient stability
condition is
G
( Δt
) ≤1
( ∀Δt
)
since this also involves
m
( t) G( t)
G Δ ≤ Δ ≤1.
Then, for y
y
Stability
( Δt
) ≤ ( ∀Δt
)
G( Δt
)
A sufficient condition for G 1
λ
G
≤ 1
( m)
m
we get
( m) ( m−1) m ( 0) m ( 0) ( 0)
= Gy = … = G y ≤ G ⋅ y ≤
i.e. the solution norm stays bounded (note: no excitation assumed!)
for all eigenvalues of
different recursion methods w.r.t. their stabilty.
i
y
,
is
. It may be used to study
Prof. Dr. Ursula van Rienen, Universität Rostock, Fakultät für Informatik und Elektrotechnik (IEF), Institut für Allgemeine Elektrotechnik (IAE)
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