• Keine Ergebnisse gefunden

Errata of the Script

N/A
N/A
Protected

Academic year: 2021

Aktie "Errata of the Script"

Copied!
2
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Volltext

(1)

Gioele Zardini Control Systems II FS 2018

Errata of the Script

Notation:

• Red: corrections.

List of Corrections

• On page 77:

The correct formula for Equation 4.7 is

kAkF =kAk2 =

m

X

i=1 n

X

j=1

a2ij

!12

, (1.1)

• On page 78:

The correct formula for Equation 4.14 is

kGkp = sup

kuk6=0

kGuk kuk

, (1.2)

• On page 83:

The correct form of Equation 4.41 is kAk22 = max

kuk=1y·y

= max

kuk=1(A·u) ·(A·u)

= max

kuk=1u·A·A·u

= max

i µ(A·A)

= max

i σi2.

(1.3)

• On page 84:

The correct form of Equations 4.49 and 4.50 is

Σ =

σ1 0 . . . 0 . .. ... ... σp 0 . . . 0

 ∈Rp×m, p < m (1.4)

Σ =

 σ1

. ..

σm 0 . . . 0

... ... 0 . . . 0

Rp×m, p > m. (1.5)

• On page 98, Equation 4.119:

eψ1·j 0 0 eψ2·j

· ν1

ν2

=

P11(jω) P12(jω) P21(jω) P22(jω)

·

eϕ1·j 0 0 eϕ2·j

· µ1

µ2

. (1.6)

1

(2)

Gioele Zardini Control Systems II FS 2018

• On page 109, Equation 4.164 and Definition 9:

P(s) =C(sI−A)−1B+D. (1.7)

• On Equation 4.261 one has

σ(C(jω))≤M¯ (1.8)

• On page 179, equations 6.44 and 6.45 are switched (an the relative definitions).

• On page 215, Equation 8.29:

A|extX+XAext+Cext,z| Cext,z +X

1

γ2Bext,wBext,w| −Bext,uB|ext,u

X (1.9)

2

Referenzen

ÄHNLICHE DOKUMENTE

the same holds for the word w 0 , because the simple factor u is unaffected by the change that transforms w into w 0 (indeed, the change only modifies unpaired letters, but there are

• (5.5): Maybe it wouldn’t hurt to mention that ”ring” means ”not necessarily unital ring” here.. • Proof of (5.6): On the last line of page 20, you write I g

When you write “One of the important con- sequences of the mere existence of this formula is the following” on page 8, you suddenly switch from GL n to general Lie groups; it would

Errata to “Frobenius’s last proof” February 20, 2020.. Frobenius’s last proof

Proof of the equality between (3.18a) and (3.18c): The matrix B is column- pseudo-commutative, and thus has column-symmetric commutators, and therefore has weakly

• page 1, Abstract: In the first sentence, the subsentence “subset of sequences satisfying a degree-m linear recursion, i.e... Errata to “On finite sequences satisfying

This formula is easy and known, but since you are defining polarization, you might as well mention this formula, as you are using it several times (for example, you silently use

First, I think you should remove the words “in (4.7)” here, because they are confusing (they sounds... Second, this might need some