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! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t v w x y z { | R o o t E n t r y F `9n @B D a t a
u W o r d D o c u m e n t ' O b j e c t P o o l 6 S`9n _ 1 0 7 9 9 4 4 6 6 1 | F SS O l e
C o m p O b j i O b j I n f o 6 * , " % ( + . 1 2 3 4 5 8 ; < = > A F I J M P S V Y \ _ b e h i j m p q r u x { ~
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q k M
m i n J = 1 2 e 2 t
x T
t ( ) Q x t ( ) + u T
t ( ) R u t ( ) [ ] d E q u a t i o n N a t i v e _ 1 0 7 8 5 6 0 5 7 4 F SS O l e
C o m p O b j
i t 0 "
+"
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q 8I I
s . t
F Microsoft ʽ 3.0 İ DS O b j I n f o
E q u a t i o n N a t i v e
4 _ 1 0 7 8 5 6 0 5 8 2 F SS O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 9 9 4 4 6 8 2 F SS Equation Equation.3 9q qd DI I
2x t ( ) = A x t ( ) + B u t ( )
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e Q 5 l
x 0 ( ) = x 0
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q( I ȧI
Q = D D T _ 1 0 7 8 5 6 0 7 5 2 F SS O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e D _ 1 0 7 9 9 5 6 8 7 0 , F SS O l e
C o m p O b j ! i
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q U D L i O b j I n f o ? N E q u a t i o n N a t i v e O P B [ ]
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q4 I I
! A + I , D [ ] _ 1 0 7 8 5 6 1 7 4 5 " c B F SS O l e
Q C o m p O b j A C R i O b j I n f o D T E q u a t i o n N a t i v e U P _ 1 0 7 8 5 6 1 8 4 4 G F SS O l e
W C o m p O b j F H X i
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q\ oI {I
2u t ( ) = "K
2x t ( )
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O b j I n f o I Z E q u a t i o n N a t i v e [ x _ 1 0 7 8 5 6 1 8 9 8 E Y L F SS O l e
] C o m p O b j K M ^ i O b j I n f o N ` E q u a t i o n N a t i v e a t _ 1 0 7 9 9 5 8 8 0 2 Q F SS qX I rI
K
= R "1
B T
P
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q PD \d
P
A O l e
c C o m p O b j P R d i O b j I n f o S f E q u a t i o n N a t i v e g + I ( ) + A T
+ I ( ) P
"P
B R "1
B T
P
+ Q = 0
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q h T
u = e "_ 1 0 7 9 9 5 8 8 5 5 O h V F SS O l e
k C o m p O b j U W l i O b j I n f o X n E q u a t i o n N a t i v e o _ 1 0 7 8 5 6 2 2 6 4 [ F SS O l e
s C o m p O b j Z \ t i t
2u = "K
e "t
2x t ( ) = "K
x t ( )
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q\ I I
2x = A + O b j I n f o ] v E q u a t i o n N a t i v e w x _ 1 0 7 9 9 6 1 2 5 4 T | ` F SS O l e
y I "B K
( ) 2x
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q p D
' l i m t ! "
2x t ( ) = ' l i m t ! "
e t
x t ( ) = 0 C o m p O b j _ a z i O b j I n f o b | E q u a t i o n N a t i v e } _ 1 0 7 8 5 6 2 5 5 0 J r e F SS
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q I I
x t ( )
F Microsoft ʽ 3.0 İ DS O l e
C o m p O b j d f i O b j I n f o g E q u a t i o n N a t i v e < _ 1 0 7 9 9 6 1 2 1 6 j F SS O l e
C o m p O b j i k i O b j I n f o l Equation Equation.3 9q " XE \d
e "t
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q qH TI PqI
2x = A "B E q u a t i o n N a t i v e > _ 1 0 7 8 5 6 2 6 1 2 o F SS O l e
C o m p O b j n p i O b j I n f o q E q u a t i o n N a t i v e d _ 1 0 7 8 5 6 2 8 2 2 m t F SS O l e
K
( ) x
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q qL `I I
2x = A x + B u y = C x { C o m p O b j s u i O b j I n f o v E q u a t i o n N a t i v e h _ 1 0 7 9 9 6 1 4 8 5 y F SS O l e
C o m p O b j x z i O b j I n f o { E q u a t i o n N a t i v e
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q v ( >
y s p
= C x d
0 = A x d
+ B u d
F Microsoft ʽ 3.0 İ DS_ 1 0 7 9 9 6 1 5 2 9 w ~ F SS O l e
C o m p O b j } i O b j I n f o Equation Equation.3 9q
' m i n u
J = 1 2 y t ( ) "y s p
( ) T
Q y t ( ) "y s p
( ) + u t ( ) "u d
( ) T
R u t ( ) "u d
( )E q u a t i o n N a t i v e _ 1 0 7 9 9 6 1 6 5 0 F SS O l e
C o m p O b j i [ ] 0 "
+"
d t
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q (
2x t ( ) = x t ( ) "x d
2y t ( ) = y t ( ) "y s O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 9 9 6 4 7 4 9 ^ F SS O l e
p
2u t ( ) = u t ( ) "u d
{
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q ] pC \d
2x = A 2x + B 2u 2y = C 2x { C o m p O b j i O b j I n f o E q u a t i o n N a t i v e y _ 1 0 8 0 0 5 8 3 6 9 > F SS O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e 0
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q J J
' m i n 2u
J "
1 2 2y T
t ( ) Q 2y t ( ) + 2u T
t ( ) R 2u t ( ) [ ] 0 "
+"
d t
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q I @I
s . t w
F Microsoft ʽ 3.0 İ DS_ 1 0 7 8 5 6 4 3 6 5 F SDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e 4 _ 1 0 7 9 9 6 4 8 5 6 F DVDV O l e
C o m p O b j i Equation Equation.3 9q ] \d
2x = A 2x + B 2u 2y = C 2x {
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O b j I n f o E q u a t i o n N a t i v e y _ 1 0 7 9 9 6 4 8 9 0 F DVDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e k _ 1 0 7 9 9 6 4 9 3 5 F DVDV O
2x 0 ( ) = x 0
"x d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q K X ,
2u t ( ) = "K 2x t ( ) O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e g _ 1 0 7 8 5 6 6 5 2 2 @ F DVDV O l e
C o m p O b j i O b j I n f o
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q@ uI I
K = R "1
B T
P
F Microsoft ʽ 3.0 İ DSE q u a t i o n N a t i v e \ _ 1 0 7 8 5 6 6 5 5 4 F DVDV O l e
C o m p O b j i Equation Equation.3 9q q܌ TI I
P A + A T
P "P B R "1
B T
P + C T
Q C = 0 P
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 9 9 6 5 1 0 7 F DVDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 8 5 6 8 5 1 9 F DVDV L Td
u t ( ) = "K x t ( ) + u d
+ K x d
= "K x t ( ) + 2u d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e $ q $I ,I
m i n J = 1 2 y T
Q y + u T
R u ( ) d t 0 "
+"
s . t . 2x = A x + B u y = c x { { _ 1 0 7 9 9 6 5 1 1 7 F DVDV O l e
O b j I n f o E q u a t i o n N a t i v e : x >w
2u d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q V
2x = A "B K ( ) x + B 2u d _ 1 0 7 9 9 6 5 1 2 8 F DVDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e r _ 1 0 7 8 5 6 7 8 9 4 F DVDV O l e
C o m p O b j i
% ( + . 1 4 5 8 ; > A B E H K P S V Y \ _ b e h k l m p s v y |
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q qP HI I
' l i m t ! "
2x t ( ) = 0
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O b j I n f o E q u a t i o n N a t i v e l _ 1 0 7 9 9 6 5 1 9 1 F DVDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e | _ 1 0 7 9 9 6 5 2 5 4 F DVDV ` @. T
0 = A "B K ( ) x d
+ B 2u d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q m ̠
x d
= " O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e A "B K ( ) "1
B 2u d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q u @. t
y s p
= "C A "B K ( ) "1
B 2u _ 1 0 7 9 9 6 5 2 6 9 F DVDV O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 8 5 6 8 4 6 6 F DVDV O l e
C o m p O b j i d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q oI {I
r = m
F Microsoft ʽ 3.0 İ DS O b j I n f o E q u a t i o n N a t i v e 4 _ 1 0 7 8 5 6 8 5 9 9 F DVDV O l e
C o m p O b j i O b j I n f o ! E q u a t i o n N a t i v e " $ _ 1 0 7 9 9 6 5 4 2 9 4 F DVDV Equation Equation.3 9q q pI |I
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q \ ,
u t ( ) = O l e
# C o m p O b j $ i O b j I n f o & E q u a t i o n N a t i v e ' x "K x t ( ) + 2u d
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N0 J J
W 0
s ( ) _ 1 0 8 0 0 2 6 2 4 1 F DVDV O l e
) C o m p O b j * i O b j I n f o , E q u a t i o n N a t i v e - L _ 1 2 0 9 9 2 0 9 3 9 F DVDV O l e
/ C o m p O b j 0 i
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q k x
W 0
s ( ) = C s I "A ( ) "1
B
F Microsoft ʽ 3.0 İ DS O b j I n f o 2 E q u a t i o n N a t i v e 3 _ 1 0 8 0 0 2 6 2 6 0 @ F DVDV O l e
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F Microsoft ʽ 3.0 İ DS O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e 8 Equation Equation.3 9q q K dZJ
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x 0 ( ) = O l e
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F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q TI D%K
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u "
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= "K 1
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z
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s "
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[ ] = 0 2
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q JJ @I
2z = y C o m p O b j t i O b j I n f o v E q u a t i o n N a t i v e w 8 _ 1 0 7 8 5 7 6 7 7 1 F p]p] O l e
x C o m p O b j y i O b j I n f o { E q u a t i o n N a t i v e | D
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q( I \DK
y " ( ) = 0
F Microsoft ʽ 3.0 İ DS_ 1 0 7 8 5 7 6 9 7 2 F p]p] O l e
~ C o m p O b j i O b j I n f o Equation Equation.3 9q qd I tpI
2x t ( ) = A x t ( ) + B u t ( )
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q E q u a t i o n N a t i v e _ 1 0 7 8 5 7 7 0 0 3 x , F p]p] O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e T _ 1 0 7 9 9 7 8 9 6 7 F p]p] O l e
q8 I J
x 0 ( ) = x 0 8
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N J J
J = 1 2 x T
Q x + u T
R u C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 7 8 5 7 7 2 4 2 F p]p] ( ) d t t 0 "
+"
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q qD LL DI
u t ( ) = "K x t ( ) O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e ` _ 1 0 7 8 5 7 7 3 2 1 F p]p] O l e
C o m p O b j i O b j I n f o
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q@ \I J
K = R "1
B T
P
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q E q u a t i o n N a t i v e \ _ 1 0 7 8 5 7 8 3 0 4 F p]p] O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 2 8 8 F p]p] O l e
qt J K
P A + A T
P "P B R "1
B T
P + Q = 0
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q C o m p O b j i O b j I n f o E q u a t i o n N a t i v e | _ 1 0 8 0 0 2 2 4 0 2 F p]p] N` J J
2x t ( ) = A "B K ( ) x t ( )
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q ND J J
K s I "A ( ) "1
B O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e ` _ 1 0 7 8 5 7 8 5 0 5 F p]p] O l e
C o m p O b j i O b j I n f o
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q qt
K ` L
P A + A T
P "P B R "1
B T
P + Q = 0 E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 4 4 5 F p]p] O l e
C o m p O b j i
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N hWJ J
P s I "A ( ) + "s I "A T
( ) P + P B R "1
B T
P = Q O b j I n f o E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 4 6 5 F p]p] O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e \ _ 1 2 4 1 6 1 5 8 8 1 1 F p]p]
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N@ XOJ nJ
K = R "1
B T
P VJ
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e X o< 6 Z
K T
= P B R "1
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N DJ J
P s I "A (_ 1 0 8 0 0 2 2 4 6 3 F p]p] O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 4 9 4 F p]p] O l e
C o m p O b j i ) + "s I "A T
( ) P + K T
R K = Q
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N }J , J
R " 1 2
B T
"s I "A T
O b j I n f o E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 5 3 9 F p]p] O l e
( ) "1
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N\ XJ BJ
s I "A ( ) "1
B R 1 2 C o m p O b j i O b j I n f o E q u a t i o n N a t i v e x _ 1 0 8 0 0 2 2 5 5 6 F p]_ O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e <
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N J ؚJ
R " 1 2
B T
"s I "A T
( ) "1
P B R " 1 2
+ R " 1 2
B T
P s I "A ( ) "1
B R " 1 2
+ R " 1 2
B T
"s I "A T
( ) "1
K T
R K s I "A ( ) "1
B R " 1 2
= R " 1 2
B T
"s I "A T
( ) "1
Q s I "A ( ) "1
B R " 1 2 _ 1 0 8 0 0 2 2 7 8 1 F __ O l e
C o m p O b j i O b j I n f o
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N NJ )J
K = R "1
B T
P !R " 1 2
B T
P = R 1 2
K E q u a t i o n N a t i v e _ 1 0 8 0 0 2 2 8 2 2 F __ O l e
C o m p O b j
i
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q NL tJ J
I + R " 1 2
B T
"s I "A T
( ) "1
K T
R 1 2
+ R 1 2
K O b j I n f o
E q u a t i o n N a t i v e h _ 1 0 8 0 0 2 2 9 0 9 F __ O l e
" # $ % & ' ( ) * - 0 3 8 ; < = > A F K N O P Q R U X Y Z [ \ _ b c d e f g j m p s t w z } s I "A ( ) "1
B R " 1 2
+ R " 1 2
B T
"s I "A T
( ) "1
K T
R 1 2
"R 1 2
K s I "A ( ) "1
B R " 1 2
= I + R " 1 2
B T
"s I "A T
( ) "1
Q s I "A ( ) "1
B R " 1 2
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q N, J )J
I + R 1 2
K "s I "A ( ) C o m p O b j i O b j I n f o
E q u a t i o n N a t i v e H _ 1 0 7 8 5 7 9 9 4 7 F __ "1
B R " 1 2
[ ] T
" I + R 1 2
K s I "A ( ) "1
B R " 1 2
[ ] = I + R " 1 2
B T
"s I "A T
( ) "1
Q s I "A ( ) "1
B R " 1 2 O l e
C o m p O b j i O b j I n f o E q u a t i o n N a t i v e 8
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q 84J J
s = j
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q _ 1 0 8 0 0 2 3 0 4 6 F __ O l e
C o m p O b j i O b j I n f o N@ J J
I + R 1 2
K "j I "A ( ) "1
B R " 1 2
[ ] T
" I + R 1 2
K + j i "A ( ) "1
B R " 1 2
[ ] = I + R " 1 2
B T
"j E q u a t i o n N a t i v e ! \ _ 1 0 7 8 5 8 0 1 1 2 " F __ O l e
+ C o m p O b j , i I "A T
( ) "1
Q j I "A ( ) "1
B R " 1 2
F Microsoft ʽ 3.0 İ DS Equation Equation.3 9q q( 8*K TL
R 1 2 O b j I n f o ! . E q u a t i o n N a t i v e / D _ 1 0 7 8 5 8 0 1 5 3 $ F __ O l e
1
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R
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