ɂɡ ɜɵɪɚɠɟɧɢɹ
"+#
ɫɥɟɞɭɟɬ
N
w
(
t,
ˆ
w
) =
N
x
(
t,
ˆX
) = 0
(
ɉɨɥɚɝɚɟɦ
&
ɱɬɨ
ɲɭɦ ɜ ɤɚɧɚɥɚɯ ɫɬɚɰɢɨɧɚɪɧɵɣ
4
N
0
(
t
) =
N
0
=
]ihmn(
Ɍɨɝɞɚ ɫ ɭɱɟɬɨɦ
ɪɚɜɟɧɫɬɜ
"+#& "-#
ɜɵɪɚɠɟɧɢɹ
".#& "/#
ɩɪɢɨɛɪɟɬɚɸɬ ɜɢɞ
d
ˆX
(
t
)
dt
=
g
(
t,
ˆX
(
t
)) +
R
(
t
)
·
!
ˆX
(
t
)
!x
ɬ
¸
ɬ
N
a
1
0
h
z
(
t
)
a
ˆX
(
t
)
i
,
(
0
)
d
R
dt
=
·
!
g
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t,
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N
a
1
0
·
!
ˆX
!x
ɬ
¸
R
; (
1
)
ɡɞɟɫɶ
[
·
]
ɦɚɬɪɢɱɧɚɹ ɡɚɩɢɫɶ ɜɢɞɚ
·
!
g
(
t,
ˆX
)
!x
ɬ
¸
=
=
!g
1
(
t,
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x
1
,
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x
2
, . . . ,
ˆ
x
n
)
!x
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1
(
t,
ˆ
x
1
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ˆ
x
2
, . . . ,
ˆ
x
n
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. . .
!g
1
(
t,
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x
1
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x
2
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n
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!x
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2
(
t,
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x
1
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x
2
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ˆ
x
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t,
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t,
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x
1
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!g
n
(
t,
ˆ
x
1
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x
2
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t,
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n
(
t,
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x
1
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x
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x
n
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.
ɇɚ ɨɫɧɨɜɚɧɢɢ ɬɨɝɨ
&
ɱɬɨ ɤɨɦɩɨɧɟɧɬɵ ɜɟɤɬɨɪɚ
X
ɩɟɪɟɞɚɸɬɫɹ ɩɨ ɨɬ
'
ɞɟɥɶɧɵɦ
&
ɧɟ ɜɥɢɹɸɳɢɦ ɞɪɭɝ ɧɚ ɞɪɭɝɚ ɤɚɧɚɥɚɦ
&
ɩɨɥɭɱɚɟɦ
·
!
ˆX
!x
ɬ
¸
=
!
ˆ
x
1
!x
1
!
ˆ
x
1
!x
2
. . .
!
ˆ
x
1
!x
n
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ˆ
x
2
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1
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2
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. . .
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2
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n
. . . . . . . . . . . . . . . . . . . . .
!
ˆ
x
n
!x
1
!
ˆ
x
n
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2
. . .
!
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x
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n
=
1 0
. . .
0
0 1
. . .
0
. . . . . . . . . . . .
0 0
. . .
1
.
(
2
)
Ɍɨɝɞɚ ɨɤɨɧɱɚɬɟɥɶɧɚɹ ɡɚɩɢɫɶ ɜɵɪɚɠɟɧɢɣ
"0#
ɢ
"1#
ɢɦɟɟɬ ɜɢɞ
d
ˆX
(
t
)
dt
=
g
(
t,
ˆX
(
t
)) +
R
(
t
)
N
a
1
0
h
z
(
t
)
a
ˆX
(
t
)
i
,
(
3
)
d
R
dt
=
"
!
g
(
t,
ˆX
)
!x
ɬ
#
R
+
R
"
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g
(
t,
ˆX
)
!x
ɬ
#
ɬ
a
RN
a
1
0
R
,
(
+*
)
ɝɞɟ
ˆX
(
t
) = (ˆ
x
1
ˆ
x
2
. . .
ˆ
x
n
)
ɬ
, z
(
t
) = (
z
1
z
2
. . . z
n
)
ɬ
,
CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+ +*-
