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[
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[
3
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N:
2088
-
8708
C
h
a
o
tic
r
ed
-
ta
iled
h
a
w
k
a
l
g
o
r
ith
m
to
o
p
timiz
e
p
a
r
a
mete
r
p
o
w
er sy
s
tem
s
ta
b
ili
z
er
(
W
id
i A
r
ib
o
w
o
)
3537
p
r
o
p
o
s
ed
f
o
r
ad
j
u
s
t
i
n
g
P
S
S
p
ar
a
m
e
t
e
r
s
.
T
h
e
s
e
i
n
c
l
u
d
e
m
a
y
f
l
y
a
l
g
o
r
i
t
h
m
(
M
A)
[
2
0
]
,
p
ar
t
i
c
l
e
s
w
a
r
m
o
p
t
i
m
i
z
a
t
i
o
n
(
P
S
O
)
[
2
1
]
,
[
2
2
]
,
H
ar
r
i
s
h
a
w
k
o
p
t
i
m
i
z
e
r
(
H
H
O
)
[
2
3
]
,
[
2
4
]
,
J
a
y
a
a
l
g
o
r
i
t
h
m
(
J
A)
[
2
5
]
,
a
n
d
m
a
n
t
a
r
a
y
f
o
r
a
g
i
n
g
(
M
R
F
)
[
2
6
]
.
T
h
is
ar
ticle
i
n
tr
o
d
u
ce
s
t
h
e
t
u
n
i
n
g
ap
p
r
o
ac
h
f
o
r
p
o
w
er
s
y
s
te
m
s
tab
ilizer
s
u
ti
lizi
n
g
th
e
m
o
d
if
ie
d
r
ed
-
tailed
h
a
w
k
al
g
o
r
ith
m
(
R
T
H)
m
et
h
o
d
[
2
7
]
.
T
h
e
R
T
H
a
lg
o
r
ith
m
r
ep
licates
th
e
p
r
ed
ato
r
y
b
eh
a
v
io
r
o
f
r
ed
-
tailed
h
a
w
k
s
.
T
h
e
R
T
H
m
o
d
if
icatio
n
ap
p
r
o
ac
h
in
v
o
lv
e
s
th
e
in
te
g
r
atio
n
o
f
a
ch
ao
tic
alg
o
r
i
th
m
.
T
h
e
o
b
j
ec
tiv
e
is
to
en
h
a
n
ce
t
h
e
p
r
o
f
icien
c
y
o
f
R
T
H.
T
h
e
r
esear
ch
h
as
m
ad
e
th
e
f
o
llo
w
i
n
g
co
n
tr
ib
u
tio
n
s
:
a.
A
d
ap
t
th
e
r
ed
-
tailed
h
a
w
k
al
g
o
r
ith
m
ap
p
r
o
ac
h
,
k
n
o
w
n
a
s
c
h
ao
tic
r
ed
-
tailed
h
a
w
k
a
lg
o
r
it
h
m
(
C
R
T
H
)
,
to
ac
h
iev
e
a
n
o
p
ti
m
al
eq
u
ilib
r
iu
m
b
et
w
ee
n
e
x
p
lo
r
atio
n
an
d
ex
p
lo
itatio
n
.
b.
T
h
e
C
R
T
H
ap
p
r
o
ac
h
is
ap
p
lie
d
to
o
p
ti
m
ize
P
SS
s
etti
n
g
s
b
y
ass
es
s
i
n
g
p
er
f
o
r
m
a
n
ce
a
n
d
co
m
p
ar
i
n
g
it
w
it
h
co
n
v
e
n
tio
n
al
m
et
h
o
d
s
(
P
SS
-
C
o
n
v
)
an
d
P
SS
b
ased
o
n
th
e
r
ed
-
tailed
h
a
w
k
al
g
o
r
ith
m
(
P
SS
-
R
T
H)
.
T
h
e
o
r
g
an
izatio
n
o
f
t
h
is
ar
tic
le
is
as
f
o
llo
w
s
:
T
h
e
s
ec
o
n
d
s
ec
tio
n
p
r
o
v
id
es
a
n
e
x
p
lan
at
i
o
n
o
f
t
h
e
r
ed
-
tailed
h
a
w
k
alg
o
r
it
h
m
,
t
h
e
m
o
d
if
icatio
n
tech
n
iq
u
e
f
o
r
th
e
r
ed
-
tailed
h
a
w
k
,
an
d
its
u
s
e
in
th
e
p
o
w
er
s
y
s
te
m
s
tab
ilizer
.
T
h
e
t
h
ir
d
p
o
r
tio
n
p
r
o
v
id
es
a
p
r
esen
tati
o
n
o
f
t
h
e
r
es
u
lt
s
a
n
d
an
al
y
s
i
s
.
T
h
e
f
i
n
al
s
ec
tio
n
p
r
esen
ts
t
h
e
f
i
n
d
i
n
g
s
d
er
iv
ed
f
r
o
m
t
h
e
i
n
v
e
s
ti
g
atio
n
.
2.
M
E
T
H
O
D
2
.
1
.
Red
-
t
a
iled ha
w
k
a
lg
o
rit
h
m
T
h
e
r
e
d
-
tailed
h
a
w
k
(
R
T
H)
al
g
o
r
ith
m
m
i
m
ic
s
th
e
h
u
n
tin
g
b
eh
av
io
r
o
f
r
ed
-
tailed
h
a
w
k
s
.
T
h
e
ac
tio
n
s
tak
en
a
t
ea
ch
s
tag
e
o
f
t
h
e
h
u
n
t
ar
e
p
r
esen
ted
an
d
m
o
d
eled
.
T
h
is
al
g
o
r
ith
m
i
n
cl
u
d
es
t
h
r
ee
s
t
ag
es,
s
o
ar
i
n
g
h
i
g
h
,
s
o
ar
in
g
lo
w
,
an
d
b
en
d
in
g
an
d
d
iv
in
g
.
R
T
H
h
as
th
e
ad
v
a
n
ta
g
es,
n
a
m
el
y
f
e
w
er
p
ar
am
eter
s
,
s
i
m
p
le
s
et
u
p
,
ea
s
y
i
m
p
le
m
en
ta
tio
n
a
n
d
ac
cu
r
ate
c
alcu
latio
n
s
.
Ma
t
h
e
m
atica
l
m
o
d
elin
g
o
f
t
h
e
n
atu
r
al
b
e
h
av
io
r
o
f
r
ed
-
tailed
h
a
w
k
s
d
u
r
in
g
h
u
n
tin
g
i
s
u
s
ed
i
n
th
e
d
esig
n
o
f
t
h
e
p
r
o
p
o
s
ed
R
T
H
a
p
p
r
o
ac
h
as f
o
llo
w
s
:
2
.
1
.
1
.
So
a
ring
hig
h
T
h
e
r
e
d
-
tailed
h
a
w
k
w
ill
f
l
y
h
ig
h
in
to
th
e
s
k
y
lo
o
k
in
g
f
o
r
th
e
b
est
l
o
ca
tio
n
in
ter
m
s
o
f
f
o
o
d
av
ailab
ilit
y
.
E
q
u
atio
n
(
1
)
r
ep
r
esen
t
s
th
e
m
at
h
e
m
atica
l
m
o
d
e
l o
f
th
i
s
s
ta
g
e:
(
)
=
+
(
−
(
−
1
)
.
(
)
.
(
)
(
1
)
(
)
=
0
.
01
×
.
|
|
1
/
(
2
)
=
[
Γ
(
1
+
)
s
i
n
(
2
)
Γ
(
(
1
+
)
2
)
.
2
(
1
−
)
2
]
(
3)
(
)
=
1
+
s
in
(
2
.
5
+
(
)
)
(
4
)
w
h
er
e
(
)
r
ep
r
esen
ts
th
e
p
o
s
itio
n
o
f
th
e
r
ed
-
tailed
ea
g
le
at
iter
atio
n
,
is
th
e
b
est
p
o
s
itio
n
o
b
t
ain
ed
in
(
3
)
,
an
d
(
)
d
en
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tes
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e
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s
i
tio
n
f
ac
to
r
f
u
n
ctio
n
t
h
at
ca
n
b
e
ca
lcu
lated
b
ased
o
n
(
4
)
.
W
h
er
e
is
th
e
p
r
o
b
lem
d
i
m
e
n
s
io
n
,
is
a
co
n
s
ta
n
t
(
1
.
5
)
,
an
d
ar
e
r
an
d
o
m
n
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m
b
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s
[
0
to
1
]
.
r
ep
r
esen
t
s
th
e
m
ax
i
m
u
m
n
u
m
b
er
o
f
iter
atio
n
s
.
2
.
1
.
2
.
So
a
ring
lo
w
T
h
e
ea
g
le
cir
cles
its
p
r
e
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b
y
f
l
y
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m
u
ch
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th
e
g
r
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n
d
in
a
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p
ir
al
lin
e
a
n
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th
e
m
o
d
el
ca
n
b
e
ex
p
r
ess
ed
as
(
5
)
an
d
(
6
)
:
(
)
=
+
(
(
)
+
(
)
)
.
(
)
(
5
)
(
)
=
(
)
−
(
6
)
w
h
er
e
an
d
r
ep
r
esen
t d
ir
ec
tio
n
al
co
o
r
d
in
ates
w
h
ich
ca
n
b
e
ca
lcu
lated
as
(
8
)
:
{
(
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=
(
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.
s
in
(
(
)
)
(
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=
(
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.
c
(
(
)
)
{
(
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=
0
.
(
−
)
.
(
)
=
.
(
−
)
.
{
(
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=
(
)
/
ma
x
|
(
)
|
(
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=
(
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/
ma
x
|
(
)
|
(
8
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
15
,
No
.
4
,
A
u
g
u
s
t
20
25
:
3
5
3
6
-
3545
3538
w
h
er
e
0
r
ep
r
esen
ts
t
h
e
i
n
itial
v
alu
e
o
f
th
e
r
ad
iu
s
[
0
.
5
–
3
]
,
A
r
ep
r
esen
ts
t
h
e
a
n
g
el
g
ai
n
[
5
–
1
5
]
,
is
t
h
e
r
an
d
o
m
g
a
in
[
0
–
1
]
,
an
d
is
th
e
co
n
tr
o
l
g
ai
n
[
1
,
2
]
.
T
h
is
p
ar
am
eter
h
elp
s
t
h
e
ea
g
le
cir
cle
i
ts
p
r
ey
w
it
h
a
s
p
ir
a
l
m
o
v
e
m
e
n
t.
2
.
1
.
3
.
B
endin
g
a
nd
s
w
o
o
pin
g
A
t
th
i
s
s
tag
e,
th
e
ea
g
le
s
u
d
d
e
n
l
y
b
en
d
s
d
o
w
n
an
d
attac
k
s
it
s
p
r
e
y
f
r
o
m
t
h
e
b
est
p
o
s
i
tio
n
o
b
tain
ed
in
th
e
lo
w
f
l
ig
h
t
s
ta
g
e
.
T
h
is
s
ta
g
e
ca
n
b
e
m
o
d
eled
as
(
9
)
-
(
1
3
)
:
(
)
=
(
)
.
+
(
)
.
1
(
)
+
(
)
.
2
(
)
(
9
)
1
(
)
=
(
)
−
(
)
.
(
10
)
2
(
)
=
(
)
.
(
)
−
(
)
.
(
11
)
(
)
=
2
(
2
.
5
−
)
(
12
)
(
)
=
2
.
(
1
−
)
(
13
)
T
h
e
v
ar
iab
le
r
ep
r
esen
ts
th
e
ac
ce
ler
atio
n
o
f
th
e
h
a
w
k
,
w
h
ich
in
cr
ea
s
e
s
as
ti
m
e
(
)
in
cr
ea
s
es
in
o
r
d
er
to
i
m
p
r
o
v
e
th
e
p
ac
e
o
f
co
n
v
er
g
en
ce
.
On
th
e
o
th
er
h
an
d
,
r
ep
r
e
s
en
t
s
th
e
g
r
av
i
tatio
n
al
ef
f
ec
t,
w
h
ic
h
r
ed
u
ce
s
as
th
e
h
a
w
k
g
ets clo
s
er
to
th
e
p
r
e
y
in
o
r
d
er
to
li
m
it t
h
e
d
iv
er
s
it
y
o
f
ex
p
lo
itatio
n
.
2
.
2
.
P
o
w
er
s
y
s
t
e
m
s
t
a
bil
izer
P
o
w
er
s
y
s
te
m
s
tab
ilizer
(
P
SS
)
is
a
co
n
tr
o
l
s
y
s
te
m
i
n
s
ta
lled
o
n
g
en
er
ati
n
g
u
n
it
s
th
at
m
o
n
ito
r
s
v
ar
iab
les
s
u
c
h
as
cu
r
r
en
t,
v
o
lt
ag
e
an
d
s
h
af
t
s
p
ee
d
.
I
ts
m
ain
f
u
n
ctio
n
is
to
d
am
p
en
p
o
w
er
o
s
cillatio
n
s
,
t
h
er
eb
y
in
cr
ea
s
i
n
g
t
h
e
s
tab
ilit
y
o
f
th
e
r
o
to
r
an
g
le
an
d
i
m
p
r
o
v
in
g
t
h
e
o
v
er
all
s
tab
ilit
y
o
f
t
h
e
p
o
w
er
s
y
s
te
m
.
A
P
SS
g
en
er
all
y
h
as
th
r
ee
i
m
p
o
r
tan
t
co
m
p
o
n
e
n
t
s
,
n
a
m
el
y
g
ai
n
,
w
a
s
h
o
u
t,
an
d
p
h
ase
co
m
p
e
n
s
a
tio
n
.
T
h
e
b
lo
ck
u
n
it
o
f
a
P
SS
ca
n
b
e
s
ee
n
in
Fig
u
r
e
1
.
I
n
co
n
v
en
tio
n
a
l
P
SS
,
th
e
g
ain
is
s
till
u
s
ed
an
d
r
eq
u
ir
es
g
o
o
d
r
eset
ca
p
ab
ilit
ies
w
h
e
n
o
p
er
atin
g
co
n
d
itio
n
s
c
h
an
g
e.
T
h
e
tr
a
n
s
f
er
f
u
n
ctio
n
ca
n
b
e
s
ee
n
i
n
eq
u
atio
n
1
4
.
T
h
e
P
SS
o
u
tp
u
t
(
)
is
th
e
in
p
u
t
ad
d
ed
to
th
e
ex
cit
ed
s
y
s
te
m
.
P
SS
in
p
u
t
r
ep
r
esen
t
s
th
e
s
y
n
ch
r
o
n
o
u
s
s
p
ee
d
d
ev
iatio
n
o
f
th
e
s
y
s
te
m
∆
.
=
.
1
+
.
1
+
1
1
+
2
.
∆
(
1
4
)
Fig
u
r
e
1
.
P
SS
b
lo
ck
d
iag
r
a
m
[
3
]
2
.
3
.
P
r
o
po
s
ed
m
et
ho
d
T
h
e
s
u
g
g
e
s
ted
ap
p
r
o
ac
h
co
m
b
in
es
t
h
e
c
h
ao
s
al
g
o
r
ith
m
(
C
O
A
)
w
it
h
R
T
H.
T
h
is
s
tr
ateg
y
i
s
s
u
g
g
ested
as
a
m
ea
n
s
to
en
h
an
ce
t
h
e
ef
f
icien
c
y
o
f
th
e
g
r
ee
n
s
p
ac
e
o
p
tim
izatio
n
alg
o
r
ith
m
.
C
O
A
u
tili
ze
s
ch
ao
tic
v
ar
iab
les
r
ath
er
t
h
a
n
r
an
d
o
m
v
ar
iab
les.
C
h
ao
s
e
x
h
ib
it
s
n
o
n
-
r
ep
etiti
v
e
a
n
d
u
n
p
r
ed
ictab
le
q
u
alities
.
Fu
r
t
h
er
m
o
r
e,
th
e
s
y
s
te
m
s
ea
r
ch
ex
h
ib
its
s
u
p
er
io
r
v
elo
cit
y
in
co
m
p
ar
is
o
n
to
s
to
ch
asti
c
s
ea
r
ch
m
eth
o
d
s
o
r
th
o
s
e
t
h
at
d
ep
en
d
o
n
p
r
o
b
ab
il
it
y
.
T
h
is
s
t
u
d
y
e
m
p
lo
y
s
a
o
n
e
-
d
i
m
e
n
s
io
n
al
n
o
n
-
r
ev
er
s
ed
m
ap
,
s
p
ec
if
icall
y
t
h
e
lo
g
is
tic
s
m
ap
,
as
an
alg
o
r
ith
m
f
o
r
g
en
er
ati
n
g
c
h
ao
tic
s
ets.
Mo
d
if
icatio
n
s
ar
e
e
m
p
lo
y
ed
to
ex
p
ed
ite
th
e
co
n
v
er
g
e
n
ce
r
ate
o
f
t
h
e
cu
r
v
e
till
it
attai
n
s
t
h
e
id
ea
l
p
o
in
t.
I
n
m
o
s
t
C
O
A
m
et
h
o
d
s
,
ch
ao
tic
v
ar
iab
les
ar
e
g
en
er
ated
b
y
lo
g
is
tic
m
ap
s
.
T
h
e
ill
u
s
tr
atio
n
o
f
C
R
T
H
ca
n
b
e
s
ee
n
i
n
Fi
g
u
r
e
2
.
T
h
e
eq
u
atio
n
is
as
f
o
llo
w
s
:
(
+
1
)
=
×
(
)
(
1
−
(
)
)
(
1
5
)
T
h
is
r
esear
ch
m
a
k
es
m
o
d
if
ica
t
io
n
s
to
(
1
)
,
(
5
)
,
an
d
(
9
)
b
y
ad
d
in
g
(
15
)
.
So
it b
ec
o
m
es
(
16
)
,
(
17
)
,
(
18
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8708
C
h
a
o
tic
r
ed
-
ta
iled
h
a
w
k
a
l
g
o
r
ith
m
to
o
p
timiz
e
p
a
r
a
mete
r
p
o
w
er sy
s
tem
s
ta
b
ili
z
er
(
W
id
i A
r
ib
o
w
o
)
3539
(
)
=
+
(
−
(
−
1
)
.
(
)
.
(
)
×
(
+
1
)
(
16
)
(
)
=
+
(
(
)
+
(
)
)
.
(
)
×
(
+
1
)
(
17
)
(
)
=
(
)
.
+
(
)
.
1
(
)
+
(
)
.
2
(
)
×
(
+
1
)
(
18
)
Fig
u
r
e
2
.
T
h
e
f
lo
w
c
h
ar
t
C
R
T
H
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
3.
1
.
Co
nv
er
g
ence
curv
e
pro
f
ile
T
h
e
C
R
T
H'
s
p
er
f
o
r
m
an
ce
is
ev
alu
ated
b
y
u
tili
zi
n
g
th
e
b
en
ch
m
ar
k
f
u
n
ctio
n
.
T
h
is
p
ap
er
u
tili
ze
s
b
en
ch
m
ar
k
f
u
n
ctio
n
s
,
w
h
ich
a
r
e
co
m
p
r
e
h
en
s
iv
e
l
y
d
etai
led
i
n
T
ab
le
1
.
T
h
e
b
en
ch
m
ar
k
f
u
n
ctio
n
co
n
s
is
t
s
o
f
2
3
f
u
n
ctio
n
s
a
s
s
h
o
w
n
i
n
Fi
g
u
r
e
3
.
T
h
e
m
at
h
e
m
atica
l
f
u
n
ctio
n
co
n
s
is
ts
o
f
s
e
v
en
u
n
i
m
o
d
al
f
u
n
ctio
n
s
(
F1
–
F7
)
i
n
Fig
u
r
e
3
(
a)
-
(
g
)
,
s
i
x
m
u
l
ti
m
o
d
al
f
u
n
ctio
n
s
(
F8
–
F1
3
)
in
Fi
g
u
r
e
3
(
h
)
-
(
m
)
,
an
d
ten
f
i
x
ed
-
d
i
m
e
n
s
io
n
a
l
m
u
lti
m
o
d
al
f
u
n
ctio
n
s
(
F1
4
–
F2
3
)
in
Fig
u
r
e
3
(
n
)
-
(
w
)
.
T
h
e
s
tatis
tical
a
n
al
y
s
i
s
co
m
p
a
r
es th
e
p
er
f
o
r
m
a
n
ce
o
f
C
R
T
H
w
it
h
t
h
at
o
f
co
m
p
eti
n
g
al
g
o
r
it
h
m
s
to
s
ee
if
C
R
T
H
h
a
s
a
s
ta
tis
tica
ll
y
s
i
g
n
i
f
ica
n
t
ad
v
an
ta
g
e
o
v
er
th
e
o
th
er
alg
o
r
it
h
m
s
.
T
h
e
av
er
a
g
e
r
an
k
v
al
u
e
o
f
an
y
alg
o
r
ith
m
ca
n
b
e
d
eter
m
in
ed
by
k
n
o
w
in
g
t
h
e
r
an
k
o
f
ea
c
h
f
u
n
ct
io
n
.
T
h
e
s
tati
s
tical
a
n
al
y
s
i
s
f
o
r
ea
ch
f
u
n
ctio
n
is
p
r
esen
ted
in
T
ab
le
1
.
A
r
a
tin
g
is
a
n
u
m
er
ical
r
ep
r
esen
t
atio
n
o
f
th
e
h
i
g
h
e
s
t
av
er
ag
e
v
alu
e.
T
h
e
v
alu
e
o
f
C
R
T
H
is
1
,
as
s
ee
n
b
y
th
e
c
u
m
u
la
ti
v
e
r
an
k
v
al
u
e
f
o
r
ea
ch
alg
o
r
ith
m
.
T
h
e
av
er
ag
e
r
a
n
k
v
a
lu
e
is
1
.
0
4
3
4
7
8
2
6
1
.
T
ab
le
2
d
is
p
lay
s
a
co
m
p
ar
is
o
n
o
f
th
e
r
an
k
in
g
s
o
f
u
n
i
m
o
d
a
l
alg
o
r
ith
m
f
u
n
ct
io
n
s
.
I
n
t
h
e
f
ield
o
f
m
u
lti
m
o
d
al
an
al
y
s
is
,
th
e
C
R
T
H
h
as
a
r
a
n
k
i
n
g
o
f
1
.
1
6
6
6
6
6
7
.
T
a
b
le
3
d
is
p
la
y
s
a
co
m
p
ar
ati
v
e
an
a
l
y
s
i
s
o
f
th
e
v
ar
io
u
s
m
u
lti
m
o
d
al
f
u
n
ct
io
n
s
u
til
ized
,
f
o
cu
s
i
n
g
o
n
t
h
eir
r
an
k
s
.
T
ab
le
4
d
is
p
lay
s
a
co
m
p
ar
is
o
n
o
f
f
i
x
ed
-
m
u
lti
m
o
d
al
r
an
k
s
b
et
w
ee
n
R
T
H
an
d
C
R
T
H.
3
.
2
.
I
m
ple
m
e
nting
CR
T
H
f
o
r
P
SS
T
h
is
ar
ticle
u
s
e
ti
n
y
s
i
g
n
al
s
ta
b
ilit
y
a
n
al
y
s
i
s
to
ex
a
m
i
n
e
t
h
e
Hef
f
r
o
n
-
P
h
ilip
s
m
o
d
el.
C
R
T
H
is
u
s
ed
to
s
o
lv
e
th
e
n
o
n
-
li
n
ea
r
s
et
o
f
P
SS
p
ar
am
eter
s
.
T
h
e
co
llected
p
ar
am
eter
s
ar
e
u
tili
ze
d
to
m
i
n
i
m
ize
w
av
e
o
s
cillatio
n
s
to
th
e
g
r
ea
test
ex
ten
t
f
ea
s
ib
le.
T
h
is
w
o
r
k
e
m
p
lo
y
s
a
co
m
p
ar
ativ
e
ap
p
r
o
ac
h
,
n
a
m
e
l
y
u
t
ilizi
n
g
co
n
v
e
n
tio
n
al
P
SS
a
n
d
R
T
H
as
m
ea
n
s
o
f
v
alid
ati
n
g
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
t
h
e
C
R
T
H.
T
h
e
ac
q
u
ir
ed
P
SS
p
ar
am
eter
s
ar
e
ev
alu
ated
b
y
s
u
b
j
ec
tin
g
th
e
s
y
s
te
m
to
1
0
0
%
o
v
er
lo
ad
co
n
d
itio
n
s
.
P
er
f
o
r
m
an
ce
v
alid
atio
n
i
s
co
n
d
u
ct
ed
b
y
co
m
p
ar
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g
th
e
C
DO
ap
p
r
o
ac
h
w
it
h
alter
n
ativ
e
alg
o
r
it
h
m
s
,
as
d
ep
icted
in
Fig
u
r
e
4
.
T
h
e
r
esp
o
n
s
e
o
f
t
h
e
s
p
ee
d
ca
n
b
e
s
ee
n
i
n
Fi
g
u
r
e
4
(
a)
.
Fig
u
r
e
4
(
b
)
is
th
e
r
esp
o
n
s
e
o
f
t
h
e
r
o
to
r
an
g
le.
T
h
e
ex
a
m
in
at
io
n
o
f
t
h
e
te
m
p
o
r
ar
y
r
ea
ctio
n
is
o
u
tli
n
ed
in
T
ab
le
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
15
,
No
.
4
,
A
u
g
u
s
t
20
25
:
3
5
3
6
-
3545
3540
(
a)
(
b
)
(
c)
(
d
)
(
e)
(
f
)
(
g
)
(
h
)
(
i)
(
j
)
(
k
)
(
l)
(
m
)
(
n
)
(
o
)
(
p
)
(
q
)
(r)
(
s
)
(
t)
(
u
)
(
v
)
(
w
)
Fig
u
r
e
3
.
C
o
n
v
er
g
en
ce
c
u
r
v
e
o
f
b
en
ch
m
ar
k
f
u
n
c
tio
n
(
a)
F1
,
(
b
)
F2
,
(
c)
F3
,
(
d
)
F4
,
(
e)
F5
,
(
f
)
F6
,
(
g
)
F7
,
(
h
)
F8
,
(
i)
F9
,
(
j
)
F1
0
,
(
k
)
F1
1
,
(
l)
F1
2
,
(
m
)
F1
3
,
(
n
)
F1
4
,
(
o
)
F1
5
,
(
p
)
F1
6
,
(
q
)
F1
7
,
(
r
)
F1
8
,
(
s
)
F1
9
,
(
t)
F2
0
,
(
u
)
F2
1
,
(
v
)
F2
2
,
an
d
(
w
)
F2
3
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8708
C
h
a
o
tic
r
ed
-
ta
iled
h
a
w
k
a
l
g
o
r
ith
m
to
o
p
timiz
e
p
a
r
a
mete
r
p
o
w
er sy
s
tem
s
ta
b
ili
z
er
(
W
id
i A
r
ib
o
w
o
)
3541
T
ab
le
1
.
C
o
m
p
ar
is
o
n
o
f
R
T
H
an
d
C
R
T
H
F
u
n
c
t
i
o
n
R
T
H
C
R
T
H
F
u
n
c
t
i
o
n
R
T
H
C
R
T
H
F1
B
e
st
5
.
6
9
E
-
41
1
.
9
0
E
-
46
F
1
3
B
e
st
2
.
1
6
2
0
.
4
8
0
8
M
e
a
n
5
.
6
9
E
-
41
1
.
9
0
E
-
46
M
e
a
n
2
.
1
6
2
0
.
4
8
0
8
W
o
r
st
5
.
6
9
E
-
41
1
.
9
0
E
-
46
W
o
r
st
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J
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lec
&
C
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m
p
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g
I
SS
N:
2088
-
8708
C
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3543
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[
1
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[
6
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.
[
7
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I
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C
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,
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.
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[
9
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W
.
J.
R
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m
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.
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Evaluation Warning : The document was created with Spire.PDF for Python.